The only thing I can suggest, having parented children who sometimes said similar things and used to have horrendous tantrums of saying what a bad parent I was, is to just grey rock it.
Find a phrase, use that phrase, such as 'that's a shame, I love you anyway, let's go do something else'.
If it persists, say, 'that's a hurtful thing to say, I don't like people saying hurtful things so I'm going to walk away for a little bit and then come back'.
I think what often happens is that you and your daugher are caught up in a cycle of feeding off each other's emotions. You can't regulate yours, your daughter can't regulate hers. You feel distressed by her rejection, you react to it, she then reacts to you- it's very cyclical.
The best thing you can do for her is to learn to regulate your own emotions anad anxiety and stop them spiralling when she says nasty things. You need to do this to shore up your own emotional well-being for the future, especially as she's going to be a teen, and also to help her learn to self-regulate. Ways to do this are to get support from other parents, self-help books, CBT, meditation, therapy, whatever works for you. I've found the book 'Let Them' by Mel Robbins is a great place to start.
I am not saying all this because I am good at regulating my own emotions, I am rubbish at it and had many problems with my children in their teen years as a result, they are also ND, and it would have helped them enormously if they hadn't had a mum who got anxious, upset and then lashed out when she was emotionally overwhelmed. I don't beat myself up about it, I did my best, but I prefer being a little more distant from the ups and downs of their emotions and better able to regulate my own self these days, and it's improved our relationships a lot too.