Saijaku Tamer wa Gomi Hiroi no Tabi wo Hajimemashita.

Summary:

In Ivy's world, stars are everything. She's a Tamer, born to subdue monsters and animals, but she was also born starless! With her life in danger, Ivy flees into the forest where she befriends a weak little slime named Sora—the one creature she can tame. Together, the unlikely pair set off on a journey, salvaging rubbish to survive. Along the way they'll win hearts, evade danger, and discover there's more to starless Ivy than meets the eye!