Teito no Kakushi Miko

The story centers on Ruri Takizawa, the daughter of a long-established clan of diviners. After her parents die in an accident, the family gets overtaken and Ruri spends her days working as a servant. With a great desire to escape her miserable life, Ruri is willing to be used even as a tool for a political marriage. However, her matchmaking sessions continue to fail, with her father's spirit always staying by her side. Until she meets Izumi Toshida, who claims to be a sorcerer, but cannot see spirits. Izumi seems suspicious, but he could be a good opportunity for Ruri to leave her situation.

(Source: Anime News Network)