The White Tengu's Sacrificial Bride

Shiro Tengu no Nieyome: Dokumochi no Reijou wa Kari Some no Tsuma to Naru
白天狗の贄嫁~毒持ちの令嬢はかりそめの妻となる~

Source

novel

The novels, set in the Meiji era over a century ago, follow Shino Nakamura, a young girl who is tricked into becoming live bait for the fearsome Tengu creatures who dwell in the mountains. The white Tengu who appears before her, however, offers to save her instead of eating her. (Source: Anime News Network, edited)