Idk how to put spoiler tag so uhhh just don't read if you don't want spoilers ✓
For the thing about the ML liking her after she stopped showing affection.. idk how far you've really read but it's not that he started liking her because she stopped asking for his affection. His trauma obviously doesn't justify the abuse he gave the old FL but it explains his distrust for her and specifically women. He started liking her not because she stopped asking for affection, but because she helped him and started to build a relationship over trust and with how to be a family with the daughter.
About the kid opening up quickly, yeah lol I agree. But at the same time, Blanche just wanted a mom and to be a kid. And it seems there's a few time skips, so I'm sure the FL and the kid had fun off-screen. The FL told her to open up like that. It's a bit weird cuteness aggression but then again it's a manhwa and in storytelling and drawings, it's exaggerated for comedic purposes and so Blanche feels more comfortable quicker.
Started reading but it just isn’t for me, we glossed over the princesses abuse way too quickly, ML started showing interest in her as soon as she stopped wanting his affection which is not a trope I like, and the relationship between MC and princess is not well developed, it’s too fast paced and MC’s reaction to her child’s cuteness is too over the top… hitting a wall out of cute aggression is a thing, but with the abuse princess suffered under her mom she shouldn’t have opened up so soon even if she’s a child…
Well, I didn’t read enough to say it’s bad but certainly not something I’m looking for in the moment