I’m going to go slightly against the grain here.
The man is a prize arsehole, make no mistake about that, and you didn’t do anything wrong this morning.
but the fact here is that he is DD’s father and he lives in the area. And DD is going to have a sibling who, while she isn’t going to see them right now, there’s a chance that things could change in the future and her father may well seek contact at some point in the future.
While I absolutely would have protected DD from him this morning, this is a life-long thing, and whether we as parents like it or not, children do grow up with their own curiosities and need to know etc, and one day when she grows up she may well look for him, and she won’t necessarily thank you for wanting her to forget him, even though you have the right intentions.
And if in the future he seeks contact. And goes to court he will likely be granted it.
So while in the short term you can protect her by removing pictures etc, in the longer term you need to think about how to move forward in such a way that your DD knows that her father is out there but that he’s not available at the moment.
I would most definitely pursue him for maintenance, even if you put that money aside for her future. But if his name is on her birth certificate he has parental responsibility, and you won’t be in a position to remove that.
Now, there’s. a chance he may not seek contact in future, but there’s also a chance he might, and if/when he does you need to be prepared for that, because sadly children don’t always react the way we hope they would, iyswim, and it’s possible your DD may well want to resume contact with him.