How do I apologize to a woman I'm afraid of.?

I was friends with this girl. We tried being more than just friends, didn't work out. We tried being just friends again, didn't work out. We had a fight. She hurt me real bad, I hurt her real bad, I hurt me real bad. In all this, I feel I hurt her mom too. Her mom didn't hurt me, she was nice to me, a terrific mom. She dropped me off at home after school even though I would go right back to school. I just wanted 2 extra minutes with this girl. Her mom drove us to go snowboarding. I feel sorry, that I hurt her mom in hurting this girl. I want to apologize to this girl's mom but I'm afraid because I heard she was real mad at me too. I feel very badly. I think if I do the mature thing and apologize to her mom, my reputation with every one who's heard the story will get a little better. Please answer fast, I'll see her tomorrow.