Red caused Tom's death? Red simply arrived a few moments too late to save Tom, but he had nothing to do with Tom's death.

Not unless you employ the same kind of pretzel logic Lizzie seems to do. Like, 'Red wanted to keep something about his past a secret, and Tom wanted to find it out. Ian Garvey wouldn't have killed Tom while stealing the bones from Tom if Tom didn't have the bones in the first place, which were given to him by Kate after she dug them up. Therefore it's Red's fault!'

Lizzie has that classic victim's disease. She can always find a way to position herself as the injured victim and launch into a histrionic fit of righteous outrage, jumping to conclusions, with selective amnesia of facts, and faulty recall of others. No matter how many times or how many ways Reddington works to save her from the messes she gets herself into (like unlawfully imprisoning Tom and the harbor master's death), Liz finds a way to blame Red and accuse him of not caring about her. It is rare to see her act grateful.

How often does this happen? Lizzie gets taken hostage through some stubborn, bone headed move, and Red (once again) offers to turn himself over to some mortal enemy (who wants to kill him) in exchange for her life? I've lost count.

Consider all the times he has offered his own life in exchange for her safety and freedom, all the money he has spent and lost to keep her safe, all the times he has been physically injured, sometimes shot while protecting her, all his genuine expressions of familial love toward her (I think he may be her uncle). Still, Lizzie finds a way to either forget all this, or ignore all of this, or view it as some sort of trick to get her to like or trust him. LOL

When she shot Tom Connelly and was set up as the killer of 16 CIA agents as well as a US Senator, Red worked constantly find a way to have her exonerated. With help from the task force (and Tom) Red finally got Laurel Hitchen to have all but one of the charges dropped. Lizzie was facing 17 death sentences and Red got her off with 3 years probation for shooting the attorney general. When he called and told her the news, what was the first thing she said? "That means I won't be an FBI agent." She didn't say "Oh thank God", or "hooray, they're not going to kill me. Thanks to everyone for all you did" or anything positive. She immediately complained about not being able to be a federal agent. Liz can always seem find the bad in a situation, or assume the worst about Red. She can make a crap sandwich out of anything.

(Later Reddington gets the President to issue a pardon so Liz can be an FBI agent once again. Did Lizzie call and thank him? This one time she thanked him. Wow. Mark your calendar. That doesn't happen often.)

At the end of S4E5 The Lindquist Concern when Tom gave her the SVR file on Alexander Kirk, Liz read that Kirk was her father. She went to see Red and angrily told him "You told me I shot my father. You lied. Everything you ever told me, all lies!" But did Red tell her she shot her father?

Red always told her that her father died in a fire, trying to shield her from the traumatic memory. It was Lizzie who remembered shooting her father and told Red that she recalled doing that.

And of course Kirk was NOT her father. And after she found that out, after she finds out about everything she assumes and gets wrong, has she ever apologized to Reddington for calling him a liar? Nah, that's not really something she does.

Liz jumps to wrong conclusions with righteous indignation, ignores the mountain of evidence showing that our Red (Spader character) genuinely cares for her safety, happiness and well-being, and infers the worst interpretations imaginable about Red.

She finds a document which suggests that something Red told her is not true, and, without verifying the authenticity or veracity of the document, she launches into a histrionic fit of righteous outrage, saying things like: -You lied to me! -Everything you've ever told me, all lies! -You don't care about me! You only gave yourself up to those men who wanted to kill you in exchange for me because you wanted to trick me into thinking you care about me! How DARE you?! -The only reason you bankrupted yourself trying to save my life and clear my name was to get me to trust you! -You and I are DONE! I will work with you on Blacklisters but I want nothing to do with you. You're a MONSTER! etc.

When the judge in the harbor master case interviewed her about the task force, and about Reddington, she told him about the incursion into the post office by Anslo Garrick. The judge asked her "so he was willing to let those other people die, but only came out when your life was in danger. Why is that?" And Liz never corrected him. What really happened? Each time Garrick threatened to kill someone Red pleaded with Harold Cooper to open the box and save them. One girl was shot after Harold refused to open the box. Dembe was about to be shot and Red pleaded once again for Harold to open the box and save Dembe.
Liz tacitly agreed with the judge about Red. Was that merely improper recall of the facts? Or does Liz always twist things to make Red look bad?

She practically always gets it wrong about Red. And she is supposed to be an expert profiler? HA! She can't even tell that he cares about her.

When she was talking to "hallucination Tom" about how she had set up Reddington she spoke derisively about how she knew he would try to save her, making the trade "my life for hers", as though it were a character flaw of some sort which she had cleverly exploited. (How dare he offer his life up in exchange for hers again?) It was as though she considered such self sacrifice chauvinistic on his part, another reason to detest him.

Frankly if it were me, I would have given up on Lizzie a long time ago. I would have left a team around to monitor and watch over her. But I would have said enough with all this abuse.

"And now he's completely lost the trust and respect of Liz. She continues her quest for revenge: this imposter is the cause of everything bad that has ever happened to her, especially Tom's death. He must suffer, a quick death would be too easy."

Lost the trust and respect of Liz? Looking back over all the seasons, I don't know that he ever enjoyed any of that, despite all he has done for her.
Reddington never told Lizzie he was her father. In fact he told her categorically that he was NOT her father from the very beginning. When Lizzie assumed that he was her father because of Harold Cooper's testing of the real Red's DNA, our Red was silent. He didn't confirm it. He also didn't blow the cover he operated under for the past 30 years. Perhaps he should have, but his survival all these decades depended upon keeping that secret, so he kept it.

"this imposter is the cause of everything bad that has ever happened to her". Really? That is a pretty global statement, and spoken in the same way Liz might have said. Lizzie never fails to blame everything on someone else, posturing as an injured victim. So blaming "everything bad that has ever happened" to her on Reddington sounds just like something she might say. Tom's death? Come on. Did Reddington sick Ian Garvey on Tom? Nope. Or are you saying that Ian Garvey would never have come into Tom's life if Reddington had not come into Liz's life? Perhaps not. But it's closer to say that Garvey would not have been after Tom if Kate had not given Tom the valise of bones and if Tom had not been so determined to dig into Reddington's distant past. Reddington didn't force Tom to do any of that. It wasn't Reddington who sent Tom on the path toward his death. Tom was living a dangerous life long before he ever met Reddington.

What if Reddington had NOT come into Lizzie's life? Berlin would have likely kidnapped her and begun cutting off pieces of her and sending them to Reddington, and not because of anything Reddington ever did. It was because of Reddington that Lizzie wasn't sliced and diced by Berlin.

Reddington is the cause of a great many good things that have happened to Lizzie; being saved from the KGB which was after her mother and her, being saved from Berlin, to name a couple of them. Our Red wasn't the cause of either of those problems for Lizzie, but his efforts saved her from them.

There are still questions to be answered of course. Who was our Red before Masha killed the real Red? Was he another operative who was in love with Katarina? Was he Katarina's brother? It will be interesting to see what answers are given next season.