Yes, because this is bullshit.
He works hard, and in doing so ensures (his child also, he's not just a single man but a father) has a roof over her head, and a secure place to live. And god knows a couple decades in the future maybe even an inheritance.
Working long hours doesn't automatically confer a person to non-equal parent status. Why do yiu think it does? Because he's a man and he works??
Did the OP say, no, I want to keep working long hours too? Or was it something negotiated for the ostensible good of the child? An arrangement that many parents in Britain have? Where's her responsibility for her choices, if working is what she preferred?
Misogynistic men always complain about how hard done by they are when it comes to custodial rights and this is the sort of crap I guess they are talking about.
The OP is happily implying she was forced to spend more time with her daughter, then using this very fact as leverage to say she has more parental rights and more right to stay in the home and push her partner out.
And no, I don't support women (except in certain scenarios) just because they're women. What nonsense is that?
Advice has been given to contact women's aid and affiliated charities. Let the op do so, if as she says, she is being abused.
She has not said anything for me to draw the conclusion that her partner is abusive. If she does, my view may change. Of course she doesn't have to, but then I'm going with what I've read thus far.