Kenen.

The inhabitants of Mitsuke village are ordered by a kakuen, a half-man, half-ape creature, to sacrifice a young girl at a shrine dedicated to the deity Tenjin. A young monk Benzon goes to Kouzen-ji temple to seek help, and returns with the famous Hayate, an exorcist dog, to set a trap for the evil creature that is terrorising the villagers. But nothing goes as planned when Mashira the kakuen decides to adopt the magnificent dog. Thus begin the tumultuous relations of two Japanese supernatural beings!

(Source: Doki Doki, translated)