this can go one of three ways.
1) Yui’s father is a really decent guy and is very accepting of the life that his daughter has forged for herself and is proud that she has come out of her shell.
2) new drama is born as her father tries to force her back because of some weird nobility bs. Sophie has to fight hard to get her father to change his mind and ultimately Naomi has to be the one to finally push him to the light in some grandiose fashion.
3) it’s a none issue that lasts for 1 chapter and is literally just a phone call or what not.
I personally wouldn’t mind a little drama, ala “Ice Princess from another school” that gets resolved in a couple chapters that revolves around the father’s misguided intentions to help his daughter or whatever.