So if you're a selfish jerk with no concern for the consequences to others, murder is no longer evil?

In what world is "cruel and uncaring" not evil? HE IS A F***ING CHILD MURDERER! Or did you think he dug up two corpses that died of natural causes to hang over the gates of Winterfell? He MURDERED and SKINNED the children of a woman with whom he had a casual sexual dalliance during his time as the Starks' hostage, placed them over the wall, murdered his own man to cover up the truth, and then executed the kennelmaster for his own crime! On WHAT scale is this not a string of evil actions, compounded and piled atop each other? He never spared Bran and Rickon, he simply was outsmarted and failed to catch them. They were alive in his captivity not out of any inclination towards mercy, but as hostages.

She still had no business killing the deserter. He was beyond the Seven Kingdoms, and she had no lawful authority. But that's what Ned Stark teaches his kids, right? "When you see someone who belongs dead, accompany them into the dark and murder them by stealth, even if they are not doing you any harm." And her reasons don't matter - she is still a murderer, who is joining an organization of people who commit murder for money. They can spin all the stories they like about avenging wicked step-mothers. The actions we see of a Faceless Man in the books include murdering an elderly man at the behest of his reprehensible and irredeemable brother, murdering a student to infiltrate the Citadel, and murdering a servant because he aroused the ire of a child.

The QP did not purport to be a list of the most evil characters in the series, it simply gave an apparently random array of characters and asked which is the most evil. And most of the characters on the list far outstrip Viserys. Some petty bullying of his sister, arrogance unbecoming his actual station, and a drunken threat of violence are scarcely evil on the scale of joining an assassin's guild, treason, regicide, infidelity, infanticide, rebellion, oath-breaking and usurpation of a throne. As for Tywin, you can palm off that tired old excuse of the greater good even more for him than for anyone else. At least he is not a hypocrite - he has an amoral worldview and his actions are all done with a specific goal in mind for the good of his family, which immediately falls to pieces without his hand. When this excuse is used for most other characters, it is generally suspect and self-serving, but Tywin lives it all the way through. If you are going to use such excuses for anyone, Tywin comes out best with that reason.

That doesn't change the fact that he IS evil, but I am not the one using situational bullcrap to defend the indensible.

Again, bullcrap. He is evil because of WHAT he did, not why he did it. And you don't even have the PoV trap excuse to protect your citing of the given reasons of a man who is a notorious and admitted liar. He is NOT doing this for amusement, but for his own aggrandizement and self-gratitifcation of his resentments, grudges and lusts nurtured for over a decade. Either way, it does not matter. He is evil because of his betrayals, murders, and conspiracies to commit or abet or conceal others' crimes.