I really like this so far, as someone else said, I like her father's attitude. Even if there was a legit reason for forgetting him he still feels responsible about it, is sorry and is trying to take his role as a father to her even if it's later than usual.
I also liek how he's matching her pace, not forcibly taking her to his Palace but asking her instead, eating on the ground with her like how she's used to etc.
He seems like a decent person, a normal father, not weird or obsessive or cold but caring like on some other manhwas, it's very refreshing. It's just my impression but he seems to like all of his kids the same way unlike in some other manhwas when the mc is loved much more for some reason, I can see him paying more attention to her more than his othr kids though just because of what she went through before, he'd feel more responsible towards ehr and like he has to make things up for her.