Fire Tripper

A massive gas explosion in modern day Tokyo throws seventeen-year-old Suzuko back in time—500 years into the past—and into a death-strewn battlefield. Rescued from lecherous bandits by the young warrior Shukumaru, Suzuko struggles to untangle the timelines. Slowly she begins to understand the strange force that has exiled her, and how it relates to her own mysterious past. Shukumara and Suzuko tackle mystery, tragedy, and disaster as time unravels amidst the roaring flames of past and present.

Synopsis from Anime News Network