I do think that when she left home, she had already accepted HS as her family and she saw it as her leaving her parents. Of course, Babes had been her parent all her life while she had only just accepted HS in that role. Really the timing of her departure was terrible. If only they had had more time I am quite sure the gaps would be bridged over time. HS and Minnie could not remain with these gaps forever, but it wasn't what the writers wanted to here we are now. Minnie is forever going to regret not getting a chance to have her father's love.
Also, lets not forget that while Babes did love her, she was always more of the mother in their relationship, but with HS it was different because she was always the child and he the parent/father figure. At difficult times in her life like this, if she were to seek comfort, HS is the person she'd go to rather than Babita, because she doesn't need to be brave around him. She can be herself, like an open book, and be vulnerable without fear, show him her weaknesses. It's such a HUGE loss for her not to have him around. I am not sure NB can do what HS would have been able to.
Yeah. She did accept HS as part of her family when she left. She saw HS and Babita collectively as one unit, as her parents and her family. While Babita is her mother, even if HS is not in the picture, I am not sure if she accepted HS as her father, if Babita were to not be in the picture. Maybe we will find out our later but I can’t keep watching the show in the hopes these things will be addressed.
Not just HS, not having Babita around is a huge loss for Mini as well. Doesn’t matter if at times, Mini had to mother Babita, Babita is her mother at the end of the day and that’s what she said to her friend and in the letter to Babita too. Loosing both HS and Babita has and will impact the large part of her life now. Like she said she lost her family. Well, now Arya is her family and they will have to bridge the gap between them to truly become one.