Children have rights, parents have responsibilities. The little one is already a victim of domestic violence, mum choosing to make her a victim of domestic violence again shows that at the moment mum is unable to manage those responsibilities.
Its normal for children to miss birth family no matter how they are treated, this doesn’t mean contact is a positive. Mum nof wanting to see her daughter, but instead wanting to expose her to more domestic violence shows that for now contact isn’t in the best interest of the child.
There is support available for mum, but she has to want it and she has to want to put her own safety and her childrens safety first, if she doesn’t want to do that no amount of intervention will be a success.
If mum is unhappy that she isn’t be allowed to subject her child to domestic violence, I wish her luck convincing a professional that its a good idea.
Our childrens birth mum chose violent partners above her children, as a result all have been removed as birth mum chose not to keep her children safe. Still years later (the oldest is a teen), she thinks children being exposed to domestic violence is fine. She’ll never put the needs of her children first, but with tight controls she does still see them, it is of course supervised.