To me it looks like Asako has had a habit of picking emotionally unavailable people, and she's also been afraid to communicate her own needs. A people-pleaser, who has always invested more energy in her relationships than her partners, which of course led to burnout.
It looks like progress that this time she allowed herself to be selfish, and asked Miyako to stay despite not giving her an answer. But I also think the very reason she hasn't fallen for Miyako yet (even if she's attracted to her looks) is that Miyako pays a lot more attention to her needs than she's used to from a partner. As if it's hard for her to break out of the pattern, and embrace the relative unknown.