A court can only make an interim care order under section 31 of the Children Act if a child is suffering or is at risk of suffering significant harm because of parent's care (or lack of it) or if child is beyond parental control.
It is a two stage test. First, the LA must prove on balance of probabilities that the case 'crosses the threshold' I.e. There MUST be facts proved that demonstrate risk of significant harm. Once that risk is proved, the court then asks itself if it is right to make a care order, or should it be a supervision order or no order at all.
I am afraid in cases of DV it is very common for women to say they will leave a violent partner but still contact him secretly. This clearly puts child at risk.
If you think a care order has been made unlawfully for no reason then your daughter must appeal against the making of this order or apply for it's discharge. She will have a solicitor paid for by Legal Services Commission, if she doesn't like him/her, get another one.
If you feel you are being unfairly overlooked as carer or support, apply to intervene or become a party. You may not get free legal representation but you can turn up at court.
Don't seek advice from the websites/indivduals who talk about 'fighting' Social Sevices or tell you they work to baby snatching quotas. You will do your case enormous harm.
Challenge decisions you don't agree with evidence and a good lawyer. Otherwise co-operate and engage.
In my experience children are not removed under a ppo (police protection order) without very good reason.