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I'd like to believe Asami goes case by case. Like it doesn't matter if they're male or female. Ehehehe
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Asami is canonically bisexual.
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asami trying to help fei long. but then fei long fell in love with asami.
from yamanae ayano website :
" Attendee: Was Feilong in love with Asami?
Yamane-sensei: Feilong had romantic feelings for Asami, and that’s why he clung to Asami so strongly. But Asami was seeking something different from Feilong. If I had to say, he wanted friendship or a sense of camaraderie, maybe. "
I wonder if Asami is gay or straight before he met Aki. But he did meddle with Fei Long a bit and he's not afraid to show affection towards Aki in public or around his subordinate. Guess he's gay from the beginning.