Haraiya Amagiri no Koukeisha

Amagiri-ya is a prestigious family of exorcists. Its descendant, Miyoshi Tenma, was not keen on taking over as head of the family. The reason was his father's death. Seeing his father lose his life while exorcising an evil spirit, he began to have doubts about this job. Then, the current head of the family suddenly declared, "The next head of the family will be decided not only by blood ties but also by ability." While Tenma was confused, Makoto, a genius exorcist from outside the family, became a candidate for succession for financial gain. Tenma was wary of her as she ignored the rules and continued to exorcise evil spirits, but...

(Source: ComicWalker, translated)