AoIno

InuAo is the het ship between Inosuke Hashibira and Aoi Kanzaki from the Demon Slayer fandom.

Canon
Inosuke and Aoi first met when Tanjiro, Zenitsu, Nezuko, and Inosuke came to the Butterfly Estate due to injuries after the fight on Mount Natagumo. One potential moment was when Aoi was scolding Inosuke for stealing food and giving him his own tray of food so he doesn't steal anymore,followed by Inosuke smiling and a slight blush on his face.

In the end of chapter 205 it's shown Inosuke's and predicts to be Aoi's descendant as well,but it hasn't been confirmed.

Fanon
The ship most likely started when Inosuke showed no restraint against her in the full body training and when Aoi was weeping while explaining Inosuke's injuries after the fight against Upper Moon 6. They don't seem to have any interactions throughout the series,but their similar personalities is what dragged the fandom into shipping them.