My Younger Knight Takes Care of Me in Another World manga volume 1 features story and art by Nekonomori Shima.

Mitsuki is an ordinary thirty-something office worker leading a monotonous 9-to-5 life. His hum-drum routine is suddenly shattered when he tries to help a girl in distress, only to be unexpectedly transported to a different world. While the girl is meant to be there, Mitsuki is out of place, and nobody knows what to do with him. Fortunately, Volk, a striking and noble knight, takes it upon himself to care for Mitsuki–even gently tending to him after he's rendered unconscious from an injury. But when Mitsuki comes to, it's not Volk next to him but a large black wolf! Just who–or what–is Volk and how is Mitsuki expected to survive in this unfamiliar world?