Seijo-sama? Iie, Toorisugari no Mamonotsukai Desu!: Zettai Muteki no Seijo wa Mofumofu to Tabi o Suru

Synopsis from Kadokawa:
Cheats for fluff! The reincarnated Saint doesn't care about dignity!
Kanata is a girl known as the reborn "Saint". With such talent, the profession she chose is… the weakest "monster tamer"!?
Kanata, who finished her previous life alone in a hospital room, only wants to adore and become friends with fluffies all over the world! If there's a dragon aiming for fluffies in the east, it'll be punished with powerful magic, and if there's a foul smell in the west, the entire city will be purified so the fur won't smell!
When I used my cheats for fluffies, I was worshipped as a Saint by the people I accidentally saved!?

Synopsis from Niconico Seiga:
"Finally, finally… I can touch fluffies!"
Kanata is a girl known as the reborn "Saint". With such talent, the profession she chose is… the weakest "monster tamer"!?
That's right, Kanata, who reincarnated from a previous life of loneliness, has chosen to use her cheats to pat all the world's fluffies. All you have to do is adore them to the fullest!!
A fast-paced girl's otherworldly adventure story, comicalized! ☆

Links: Web Novel (Raw)
Alternative Raw (Comic-Walker) Official Light Novel English (J-Novel Club)