I don't think you need be angry at yourself, it was a difficult situation and you learned a lot from it - take the lessons you needed to learn and you're wiser for it.

As others say she has manipulated you. It's probably just as well she doesn't want to stay friends (if she was still in your life she might continue to try to manipulate you). I think in some cases people can stay friends, but usually when the break up is more amicable.