I dont think you realize the impact a drinking parent has on a child. Even if not officially an alcoholic.
I had big issues with my dad's alcohol intake. I could see his behaviour change, and it really scared me. I never let on. He was depressed, he had his own issues, he was bitter, and took it out on me after drinks.
I developed a fear of alcohol. I was a shivering wreck if I had driven past the city centre and seen drunk people. I had to steel myself to go to a party in case there was drinking. In the end it was so bad I would get anxiety attacks each time I came into contact with a person under the influence of alcohol (Luckily it never occured to me to join them in the drinking). Shaking, and feeling sick, alone in bed at night, falling asleep exhausted around 4-5 am. I started nicking my mums valium to get some sleep and relief. It is not a coincidence that I have chosen for husband a man who is a teetotaller who had an alcoholic dad. The one time my husband came home drunk was after his company leaving do, and I spent the night shaking under the kitchen table. And no, councelling wont help me, I have rationalized through it all, I have a strong mind. But as a 16 year old having an unhappy drunk dad take out his issues on me, much like it sounds like you are doing with your daughter, you are doing some serious harm.
You should be your childs rock and support. At the moment you are not, you are not a safe haven for her, which she can come for comfort in her stormy teenage years. You are one of the reasons her life is hard. When she says I Hate You. Believe me, she does.
But YOU can turn this around. She will be longing to have you back as her mum, her rock and her support, and she WILL be willing to erase all the hurt.