Kakuriyo Shinjuuki Isekai de, Kamisama no Oisha-san Hajimemasu.

After dying in our world, Yae is reborn into a strange country called Izumo, which resembles ancient Japan, except for the fact that the supernatural is commonplace. When she is attacked by a terrifying monster called a shade, Yae has no choice but to release Arai, a golden tiger and former god, from his seal. In no time, the bossy tiger has her helping to find his brother, Sui, but it turns out that Sui has fallen ill and will soon become a monster himself. Arai, however, thinks Yae is just the person to heal his afflicted sibling… Does Yae really have what it takes to be doctor to a god?

(Source: Yen Press)