Thank goodness this never happened to me cause my parents were good parents, it’s just as much the childrens home as the parents and children should be allowed to say “I don’t feel comfortable with another man or woman living hear” Its the parents responsibility to make sure their children are comfortable and feel safe around a new adult. The parent should plan a public meet and greet parent, child, step and after each one the children should have the right to say no more and it end there.
The mom of a friend of mine did this when he was growing up. She was a single mom, she asked him about a guy she was seeing, he said “He’s a little weird, not sure I like him” not really meaning anything by it other than an honest answer. The guy was gone from their lives within a few days. He said he might not have given that answer if he’d realized what she was asking, it was just a snap answer based on not really knowing the guy that well.
The guy had money, seemed otherwise like a fairly decent person, but she dropped him without a second thought after that one conversation. Just gone. She did a lot of things wrong in her life but pretty much the one and only thing she was unerringly on the money about was loving her kids and making them the center whatever else was going on. She pretty much DGAF about what else was happening if there was ever a conflict.