Spoilers ahead for the first volume
Aoi wakes up in the bed she snuck into at night. She discovered one of the tengu who were so angry last night has passed out in a drunken stupor. She brings him in, feeds him, tells him who she is, and is highly praised to the inn for it. He offers her an escape, but she chooses to stay and there's the possibility she could open a restaurant.
It goes on. It involves a snow-maiden with a fever, a promise she made, a fan that controls the winds, a trip on an airship, and more cooking.