I also wonder if you are re-enacting your own abuse on her, or putting her in your role somehow?
Do you think that perhaps the things you see in her that wind you up so much are the things you hate in yourself?
Or even perhaps the things that made you a victim when you were little?
I feel sorry for you as well as for your daughter, because I too am being an awful parent at the moment. I’m being really angry with DS, 8, and I know it’s disproportionate, and I can’t seem to stop it. It’s awful and I truly hate myself for it. In my case it’s especially awful because I never used to shout at DS at all until the last year, so it must be such an awful shock for him.
I promised not to ever, ever shout at my child because my mother was horribly abusive and screamed at me for hours every day. So for me to be shouting at DS, even once is a horrible betrayal of everything I stand for. I feel like utter shit. To think of the damage I’m doing to my poor darling boy. I need to stop.
And you need to stop too.
For me, the first step is to admit it. Which is what I’m doing now. And what you are doing. Then I need to work out what is triggering me to do this, because insight is the beginning of everything. And I hope that if I can understand exactly why I am so angry right now, at DS, in this particular moment, then my anger will start to dissolve. And then it will be manageable with techniques like removing myself when I feel my temper rising, and better, hopefully not getting into situations that will end in me getting angry in the first place.
I suspect it will be a longer road for you, but a similar one in many ways. Good luck to us both. 