I don't think you're terrible for wanting her to move out; it sounds like the situation is toxic to both of you. Your daughter doesn't gain anything from constantly expressing anger and bitterness without making an effort to deal with it constructively. You might consider setting some boundaries, such as telling her if she wants to continue living under your roof, then the two of you need to attend family therapy together. If she eventually wants to pursue individual therapy, and you can afford to pay for it, you may want to make that offer again sometime. Meanwhile, it sounds like she is getting a big pay-off from punishing you and you really shouldn't allow that to continue.

It might be tough to get by in the world at 22, but your daughter can always find a roommate or two to share expenses--this is what I did when my mother threw me out (greatest gift she ever gave me, although I only appreciate it in retrospect). I didn't even know the two people I moved in with, but the situation worked out well, although my mother and I didn't speak for over 2 years.

You have my sympathies for dealing with this difficult situation. I hope you're able to work out a solution that's good for both of you.