Futsumashi na Yome desu ga.

One day, Hirazono Satsuki, while walking home from work, finds a girl in a garbage dump. He ends up taking her home and she introduces herself as Riene, an exorcist. She is on a quest to find somebody who took care of her before, a girl named Satsuki. Could he be the same Satsuki?

(Source: Shoujo Crusade)