Also sounds like me and my mum. I once managed not to speak to her for three months when I was 7 or 8 years old, not one single word.
Anyway. We had a shit relationship until I had several years of counselling in my 30s. I learned how to set boundaries and not respond to her crippling guilt trips and manipulations. We now have a really nice relationship, I look forward to seeing her and she's lovely to my kids. I'm nicer to her and she's nicer to me, her bullshit is largely under control and when she says something nasty I call her on it.
My sense of it is that I have always been a disappointment to her. I was fat and awkward as a child and didn't make any friends at school. I embarrassed her, I think, and she definitely didn't understand me (I don't think she does now). She's very hung up on outward appearances, and I failed to live up to how she wanted me to appear to her friends.
Do you like your daughter? Does she have any characteristics that you like and admire?
I think getting some professional help is a good idea, you first, then maybe together.
Without meaning to upset you, you're the adult and unless there is some underlying mental health issue with your daughter, you're responsible for the relationship.
Wishing you all the best, I have three daughters (all under 5) and I am anxious about history repeating itself with us. I hope you manage to figure each other out without having to wait 30 years like i did. 