He sounds awful OP. I’m sorry for both you and your daughter that he’s such a rubbish dad.
You have to protect yourself. She knows she can rely on you and you have to rely on yourself. Sadly, you can’t make him better. If you can’t, new gf doesn’t stand a chance.
I know it takes and no one will say it’s easy, but try to separate your daughters dad from your ex. She has a relationship with him but apart from doing what’s best for your daughter, you don’t need to and the less you have to do with him the better for you.
He probably loves having you want to meet her. He’s probably telling himself you’re jealous. You know you’re not, so leave them to it. When I found out my ex was remarried (after meeting her a couple of months earlier!) my only thought was to wish her luck and hope he was nicer to her than he was to me.
In your head, draw a line between him and yourself. He’s going to be the dad he’s going to be. Respect your daughter’s need for a relationship with her father but limit contact to the basics. Don’t feel you have to cover for him. Don’t put yourself out for him. Don’t get involved with the details of what he does with her if she’s safe and okay, even if you don’t agree with him.
You sound really bartered and stressed, it must be exhausting and I do feel you. But you know what? The new gf is the bug stuck with him now. You’re free! Put your energy into yourself, feeling good about yourself, being the best mum you can be and having a life that makes you happy. He’s a twat, but he’s not your twat anymore, that’s a good thing! Don’t meet her, what’s she to you? Hopefully she’s kind to your daughter, hopefully the kissing stops if your daughter isn’t happy with it. Could your daughter tell her dad she only wants kisses on the head or cheek? She has a right to feel comfortable and for her boundaries to be respected.