I'm also really confused about what you're apologising for? Is it for trying to kiss her or actually kissing her and she was offended by that?
Anyway it does sound like she's been projecting and it sounds like she has a fragile ego where instead of looking inwards to find the cause of her issues she's trying to blame others for them.
I think it's best for both of you to cut contact with her and not see her again. She needs time alone to sort out her issues and the more you go back to her the more reason you give her to blame you for how she feels.