In/Spectre

In/Spectre (虚構推理, Kyokou Suiri) is a novel by Kyou Shirodaira. A manga adaptation by Chashiba Katase launched in Shounen Magazine R in April 2015. Kodansha Comics USA has licensed the manga for English release.

Plot
When she was still just a girl, Kotoko was kidnapped by yokai. These spirits made her into a powerful intermediary between the spirit and human worlds, but this power came at a price: an eye and a leg. Now, years later, she watches out for dangerous yokai while developing feelings for a young man named Kuro, who has also gained powers via an incident with yokai. He's surprised when Kotoko asks him to team up to handle renegade yokai, preserving the thin line between reality and the supernatural.

Official
Official English manga site