Welcome to Just Answer. Did she give you reasons for breaking up?
Looking forward to hearing from you,
Thanks for the additional information. Giving her some space right now to think over her choices might be the best thing to do. There's no guarantee, of course, but you admit you made a nuisance of yourself when the breakup first occurred. Giving her some space, and being less needy might be what makes her choose you over the other person. I would also think about getting out and doing things on your own to keep yourself busy so you don't obsess with her. Who knows, you may decide that you prefer being without her.