The more you talk to her, the harder it will be for you to move on because you're only reinforcing your attraction to her even though you guys aren't together.

It would probably be smart of you to give yourself a month before talking to her so you have some time to yourself to heal. Don't spend too much time thinking about her either. She has said she doesn't want to be your friend, so why would she keep talking to you? Put your foot down and give yourself time to detach yourself from her. If she talks to you again, both of you should be over one another OR both of you should want to get back together.

If a month sounds difficult, try one week without contact. If she still says she doesn't want to be with you, extend the time until YOU are ready to talk to her. You cannot be friends with her as long as you're still in love with her. If she gets with another guy it will hurt 100000x more because you still feel a romantic attachment to her. No point in putting yourself in that kind of pain if you can avoid it.