Kyokou Suiri

Meet the cute, smug, cane-wielding 17-year old Iwanaga Kotoko as she (very) aggresively tries to woo the older Sakuragawa Kurou and act as a mediator/problem-solver for the supernatural world.
From the author of Zetsuen no Tempest and Spiral!

Both touched by spirits called yokai, Kotoko and Kuro have gained unique superhuman powers. But to gain her powers Kotoko has given up an eye and a leg, and Kuro’s personal life is in shambles. So when Kotoko suggests they team up to deal with renegades from the spirit world, Kuro doesn’t have many other choices, but Kotoko might just have a few ulterior motives …