I read your post and recognised so many similarities I thought I must reply.
I’ve walked the path you are on. My daughter was just turned 10.
You and your daughter are in recovery. You as an adult have other life experiences, insight and knowledge to move on from domestic abuse. Or you may need help to do this without further damage.
Your daughter hasn’t got the same depth of life to drawn on. Her main experiences are of domestic abuse and it’s aftermath.
When you are in a domestic abuse situation it’s a mother’s natural reaction to minimise the impact of abuse and protect the child. Usually this results in ‘non parenting’ as you are mostly in protection mode most of the time.
You are possibly seeing in your daughter the results of this change. It’s important that you get assistance to understand how the abuse affected you and how you parented during the abuse and your parenting now.
This isn’t coming as a criticism at all. It’s not to do with being a poor parent. It’s to do with parenting in extreme situations and how it changes.
I would say her behaviour is exactly what would be expected given the past situation.
Save the Children charity do recovery workshops for adults, usually it’s for woman. They also do recovery workshops and counselling for children.
I can recommend them.
It’s a long road. I think most people are under the mistaken believe that to get away is all that’s required. But there is so much more needed.
You will make it, but it sounds as though you need a bit of help on the way.
Best wishes.