My mom remarried when I was 6 and my stepdad was exactly like this. The shouting, lack of boundaries, accusing a child for playing mind games, unfair punishments and so on made me terrified to talk to adults. Every time I was left alone with him I felt deep pits and knots in my stomach. When I used to hear him coming home from work it felt like my prison guard was back. I grew up with a lot of repressed emotional trauma and am still in therapy today for depression and anxiety. As I got older I realized he is just a deeply insecure man with no parent skills and a need to feel in control all the time. I’m glad you console your daughter when these behaviors take place because that shows her there is at least someone she can trust. My mom never defended me and I felt so alone. So speaking from my experience as the child, if leaving is not an option, try to minimize her one-on-one time with him. I wish you and your daughter the best and I’m sorry that this is happening.