The Isekai de Mofumofu Nadenade Suru Tame ni Ganbattemasu production team has revealed that the previously announced anime adaptation will be a television series that will premiere in 2023. Information about the animation studio and staff members have not yet been released.  

The anime series is based on the light novels written by Himawari and illustrated by Kirouran. It began as a web novel on Shousetsuka ni Narou on November 5, 2012, before being formally published by Futabasha on July 13, 2016 under its M Novels f label. The first volume was published that same year. 

The light novels also inspired a manga adaptation by Yuriko Takagami that was first launched in Monster Comics magazine on November 3, 2017. 

Online manga platform Coolmic publishes the manga adaptation as Fluffy Paradise and describes the story as:

Midori Akitsu (27 years old), ends up in another world after dying from overwork?! I got reincarnated in another world after God blessed me with a special ability. This ability is “to be loved by non-human beings.” Huh?! Meaning that humans might not like me, but all the fluffy animals will love me? Whoaaa! I get to pet a white tiger and dragons to my heart’s content! After being reborn as Néma, the youngest daughter of a top-class noble family, I’m doing my best for the survival of humanity(?) while enjoying this world’s fluffiness.

Source: Isekai de Mofumofu Nadenade Suru Tame ni Ganbattemasu Official Anime Twitter