The Funeral Flame Blade & the Immortal Witch

Thirty-two years ago, the world was forever changed by the demons that poured out of the otherworldly realm known as the Elysion.

Kaoru Tsukimiya, a "witch hunter" who hunts demons, travels to the cursed island of Karyūjima in search of revenge, where she encounters her natural enemy, Fiona, the "immortal witch"...?

Witch Hunter × Immortal Witch

A pair who are utterly incompatible, the worst possible duo, take on bizarre and supernatural incidents together!
An action-packed story of magic and sword dance, starring two people who can never truly get along.

Source

Comic-Walker, translated