It's not getting cucked just because a girl has a history. It's only get cucked if it happens while she's with the MC, which I don't think is what's happening here. Besides, you literally choose if you want to let her mess around with others.
I avoided her at every chance i got and still see her do all kind of degenerate shit i choose nothing with her but am forced ibto a relationship with her.
It's not a spoiler (as it should be obvious) to say that this character's journey is about her facing up to why she engages in risky, and sometimes harmful sexual behaviour - something that is prompted by her growing relationship with the first decent man in her life.