I need advice about saving this relationship.

My girlfriend and I had a fight and now she will not talk to me. I accidentaly hit her while trying to pet her hair. She believes I did it on purpose, I never would dare hit a woman. I need your help. How do I get her to stop ignoring me? after it happened she did not respond to any of my calls or anything.

Women are taught nowadays to leave when the man hits the first time. If they stay it will only get worse. Your girlfriend appearently experienced your trying to pet her hair as a hit. You cannot do much more than writing a letter to her, explaining how you feel. You will have to respect her decision.