Yes. She's 20 now. She was 11 when I met her. Her parents marriage was ended by the (now) ex-wife's affair. I met DH years later. We didn't move in/marry for 4 years as we both had young kids (me, a 5 yr old. Him an 11 yr old). It was obvious from the start that his other two kids were ok with things and we get along fine. I adore his eldest daughter and rub along just fine, with his son.
Ex wives who are bitter are not good for kids in a divorce situation when they make the trauma even harder by being emotionally unstable about their ex husband moving on, with someone else. Bearing in mind, her mum had the affair and didn't want anything to do with my now DH, she was so distraught on learning that he'd re-married that to save her emotionally, I was kept away from "occasions" so as not to set her off! Bloody cheek of it!
I got tired of lurking in the shadows like I was something he should keep quiet. If he did that to me again, to spare his cheating ex-wife's feelings, I would leave. Full stop.
Sometimes, we just don't get along with people. I saw personality traits in my youngest sd's persona which, had she been someone I worked with or an acquaintance, I'd have avoided like the plague.
I do hope things get better for you. It sounds as though your partner has a problem with parenting his daughter. He's not doing her any favours by allowing her to be badly behaved.