Hey!
My mom and I had a HORRIBLE relationship until about 3 years ago. Same thing, everything I said or did was wrong and worthy of a fight. One mother's day she started in on me and I told her I never wanted to speak to her again..."don't call me I'll call you" kind of thing. She hung up on me and we didn't speak for 5 years AT ALL. I really don't remember who ended this, it just kind of ended. She's my best friend now. I don't TRUST her, but I love her and we can talk without fighting. My son missed out on her during that time, but they've made up for lost time, and our relationship didn't suffer. He's 10 now. I know that boys are different than girls, but my mom and I had a simillar situation. Now when we talk if it starts getting pissy, one or the other of us will just say "agree to disagree" and change the subject.
As long as YOU don't treat your daughter the way that your mother is treating you, it will not affect your relationship. When she is old enough to understand, just explain to her that you and your mom don't get along and it hurts you. You want to be able to keep open communication with you daughter so she doesn't fell the NEED to fight or argue with you. DON'T GET ME WRONG, all kids argue with their parents to an extent, but it doesn't have to get ugly. You are the one that sets the dynamics of the relationship between you and your daughter, NOT YOUR MOM! Be strong, have faith and BE PATIENT, eventually your mom will see that you are capable of making "BIG GIRL" choices and that includes how to raise your children! She'll come arround, and if she doesn't, "agree to disagree" and move on. If she can't, just tell her you don't want to talk anymore before it get's out of control. Tell her you'll call her back, or see her later, whichever is appropriate. She'll catch on and start acting like an adult too eventually!
I wish you well, and I hope you can heal the realtionship with your mom.