I am rather astonished at the sympathy you have recieved here OP.
'I slapped her face, grabbed her hair and was really rough with her'
And then remained angry with her, whilst coming on mumsnet with a sob story.
I have no sympathy with you at all. You violently attacked your daughter. Would the people who have sympathised with you have been so sympathetic if the OP was a man who came on here to say how trying his wife's behaviour was, and he lost his temper and pulled her hair and slapped her face?
Pulled her hair? How old are you fgs. What kind of adult reaction is that? And slapping her face? Have you ever been slapped round the face? Do you know that (besides the physical pain, it bloody hurts) how humiliating and demeaning it feels?
Yes, teenagers can be trying and complete pains in the arse, I have one myself, but you are the adult and if felt like your temper was going you should have removed yourself. You have no right to assault your daughter. because that is what it is. If you did this to someone in the street you could be charged.
I am rather astonished that you still seem to accept that YOU deserve an apology. By clobbering her I think you destroyed the right to deserve an apology for her prior behaviour.
You are making excuses for yourself. Yes, parenting is hard, and perhaps you didn't have good upbringing yourself. That is no excuse, you know that hitting is wrong.
yes you love your daughter, we are all parents her, and we all love our children to the point of distraction. You are not some kind of special case where your love leads you to behave in a blind and thoughtless manner. Teenagers are hard work, they retreat into themselves, they are HIDEOUSLY selfish and self-obsessed, however there are ways to behave with them that doesn't resort to clouting them round the face.
You sound completely narcissistic. I advise that you go to your dr and ask for anger management classes, and face up to the fact that your reaction was completely out of order.