My Fair Killer - Watashi to Neko to Koroshi-ya to

Asahi Asatsuki (30) is a high school teacher. She wants to "nurture people" and "be a good teacher," but reality has made her a complete reticent person....
On her way home from school, she chases after a cat and wanders into an abandoned factory, where she witnesses a war between hitmen.
She is kidnapped and offered a deal: she will take care of a young hit man and educate him to be a human being!