"The short answer, which is a bit of a simplification, is no, she generally wouldn't. There's some nuance to this, so I'm also going to give you a longer answer with a few parts to it, but if you just want to know whether you can have Nirvana or Elysium if you never kill anyone again — yes."
Long pause. "The first thing to keep in mind is that at your final judgment, the gods don't only see your actions, they also see what is in your heart. —The fact that they do not exclusively look at actions has been confirmed by Commune on multiple occasions, to different gods, with different phrasings, though the Judge and her servants are not human and do not necessarily care about every nuance of motivation that a human would. But they can tell the difference between refusing to fight someone who is causing great harm because of your instinct not to kill, and refusing to fight because you approve of what they're doing, or because you think it will keep you safer.
In general, a person who lives a completely ordinary life in every respect will not make Elysium or Nirvana, you do need to actually do Good for that, but there are many ways to do Good without killing anyone. There is a Shelynite religious order that swears never to take a person's life, even in self-defense, and the general consensus among theologians is that this is foolish but not Evil; Shelyn has on rare occasions chosen paladins from this order. Lastwall conscripts nearly all its young men, but my colleagues from Lastwall tell me that it allows them to refuse on grounds of conscience, in which case they spend their term building roads and so on. With that being said, there are situations where the most Good thing to do involves killing someone, or fighting them in a way that puts their life at risk — that doesn't mean it will damn you to refuse, but whatever you do instead might count less in your favor."
(It's usually kind of dishonorable for a man to be unwilling to ever fight or kill people, but it does seem like a reasonable choice, rather than an indication of cowardice, for a repentant Baphomet cultist who has participated in an enormous amount of extrajudicial violence to decide to err in the direction of never doing that again.)
"The main cases where I would expect it to damage someone's Goodness to be unwilling to kill someone are situations where they have taken on a responsibility that requires them to fight. If brigands demand that a father hand over his children to them, and he is unwilling to fight in their defense, I expect that would weigh on his soul. If you decided to use your wizardry to make a living as an adventurer, and your companions were relying on you to fight by their side, refusing to do so could weigh on your soul. If it's important to you not to have to kill anyone, you should avoid taking on responsibilities like that.
...There are also some additional considerations for people who, like you, are trying to make up for Evils in their past, but those are complicated enough that I think it will be easier to explain separately. Did you have any questions about what I've already said?"