Saint? Nope, Just a Monster Tamer Passing Through, Vol. 1 by Inumajin
Kanata is a girl so gifted with magic that people swear up and down she's the second coming of a saint. But when it comes time for her to choose a job, she settles on...Monster Taming? In truth, Kanata is the reincarnation of a friendless woman from the modern world. To make up for lost time, she sets off on a quest to gather as many fluffy creatures as she can get her hands on!