You blew it. After winning her reluctant heart over, you cheated on her, and she found out. Now she doesn’t want to date you or talk to you. It’s hard to blame her.
What you need to do is give her time and during that time, move on with your own life. If over the course of time she thinks you may be trustworthy for another go round, then you’d best on super good behavior. But if not, you need to just move on and learn your lessons for next time.
If the woman you just lost hadn’t been so hard to win over, you may have had a shot at getting her back, but because she had to overcome her own hesitance about going out with you after being friends for so long, I think that the damage is probably irreparable.
If you’re really excited about your newfound dating skills, I think the best strategy for you is to play the field right now, rather than leading someone into thinking you’re ready for monogamy.