I have one child, 14 year old daughter. Married for 29 years but now see I must get away from him, one reason being somewhat the situation you're in. Daughter doesn't respect me anymore, will not mind me, has hysterical fits.....and as any teenage girl, especially, manipulates both my husband and myself so that she gets what she wants. For instance, a big blow up with me, earns her a pity trip to the Mall with her father. I don't think it is that she hates you, I think she's just trying to manipulate, and remember both kids and adults alike take out their anger and frustration at the SAFEST person they know. Usually, their mom. Things will come back around.
One thing not mentioned... these are girls... fighting to create their identity as a woman. Girls live in their mother's shadow all their lives. When they are teenagers the fight to create their own "woman" image. I know I put my own momma through utter HELL. It wasn't until I was grown with a five year old son that I realized what a little b!tch I was. And I went to my momma and apologized. She told me, no apology needed, you were a girl who needed to show the world she was a woman. The only way you saw was to step on the woman you idolized the most. And I did... as I think back, I saw my momma as the best... but as my competion (not in any sexual way..eeww) but in I have to be better than HER. And what better (childish way of thinking)way to prove I am the better one than to drag down my idol? I am not saying that is what is happening here, but it was my situation as a teenager.