Children’s book about a little girl badger who has a special hiding place in a tree. She makes it into a little house. There’s a tea set and tea party. It rains in the book. I read it in the 80s or 90s so I think it was published sometime in that 20 year span?
Harvey’s Hideout?
https://www.kirkusreviews.com/book-reviews/russell-hoban/harveys-hideout/
I also recall a colorful quilt on the cover
Maybe one of the Frances books by Russell Hoban? Frances is a girl badger, and while I don’t remember a tree particularly, she does have a tea set in at least one of the books.
Try Harvey’s HIdeout by Russel and Lillian Hoban
https://forgottenstoriesweb.wordpress.com/2017/06/26/harveys-hideout/harveyshideouttea/#main
I don’t know the Frances books, but Harvey’s Hideout has a pair of muskrat children, and there’s no rain.
https://forgottenstoriesweb.wordpress.com/2017/06/26/harveys-hideout/