Futsumashi na Yome desu ga

Futsumashi na Yome desu ga (祓魔師な嫁ですが. ) is a manga series by Nori Kazato. It was serialized in Asuka (Monthly).

Plot
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?