“He is going to kill her, you or both of you, you cannot ever leave your daughter alone with him ever again, you need to leave asap before like another poster said, your child life is destroyed”
This. Call Women’s Aid and/or go to the police and explain what’s going on. This is serious physical violence and the police should be able to help you get to somewhere safe.
Even leaving aside the direct violence, which is unacceptable, 3 is way too young to be left alone in the bath. Plus your partner had headphones on so wouldn’t have heard your daughter if she had got into trouble. She could easily have drowned.
And it’s incredibly damaging for her to see this man hitting you. She will grow up thinking this is normal - assuming she gets to grow up that is. We are not exaggerating when we say this is the kind of situation which ends up in the news because the mother and/or child have been killed.
Your H is probably relying on the fact that you have no family here but that doesn’t mean you have no support.
Women’s Aid and the police can help you escape. KEEP YOUR ESCAPE PLANS SECRET FROM YOUR HUSBAND. Leaving and the period after leaving are the most dangerous periods for abuse victims.
The most important thing is to get you and your daughter out safely but if you have time and can do so secretly here is a link to a list of things you might want to take with you when you leave: www.womensaid.org.uk/the-survivors-handbook/making-a-safety-plan/#1447926965137-d1ebb2d0-ef20
Perhaps have them ready in a bag which you can grab and take with your daughter when your husband is out or asleep.
But as I said, getting you and your daughter out is the priority and you should do that ASAP, so if that’s all you can safely manage that’s all you should do. If necessary just tell your H you’re popping to the shops, take your daughter and go to the police station or even just go to the nearest supermarket and ask them to call the police. Or Boots if you have one near you: Boots is operating a scheme to help DV victims where they can use the consultation room to call the police/Women’s Aid etc.
PS your English is excellent - no-one will have any trouble understanding what’s going on.