I like how Minami is significantly less dense than most protagonists in that she can at least comprehend the idea of being asked out by Karin. I don't think she really views it as a possibility though, given I don't think Minami has actually realized that girls can like girls.
That said, ooph. I forgot just how strong of gender dysphoria Minami has and represses. She's literally at an amusement park with her best friend, and her first thought was "If I was a girl right now we'd both be happy." The ONLY panels of Minami smiling was her thinking of doing something nice for, and directly caring for Karin. For all that we make fun of Minami for being a somewhat narcissistic trans idiot, she does genuinely care about Karin.