Don't hate. It may be normal, but hate poisons your soul. "Dislike extremely" would be better. Forgive, but never forget :)
It's normal. Once you're able to get over whatever feelings you had toward her and let it go, you'll be happier. My ex put on a giant fake front. When I realized that the person I feel hard for never existed, I was over it. I dislike her very much but she's not worth investing any more feelings in. Yours probably isn't either.
just make peace with it, and see the relationship as a learning experience
Dejection and feelings of rejection are normal but hating someone is a waste of energy, forget about her and move on.