Yes "lady Red" is her name.
A Broken deity holding onto existence by accepting a new name by those that nearly forgot her.
it's a simple name.
people called her out as "lady" or playfully nick named her "red" to the point that WAS the name.

Anyway She is the EX goddess of: nature. Moon. Harvest Bla bla bla any fox god titles of old. She runs a barter town now.

Why the mask? She lost her face.
Her arm? Old wound from a war no one can speak of. (lot of ppl speak of it just dont know the full context)
The gold scars? She is a goddess, be it red blood. Gold. or pure light. One got to show she not a mere mortal. Just one trapped in a mortal realm......living like a mortal

The fan? Yup all her TAILS were lopped off.
She is a short old fox. Yes she is youthful lookin, but not like 20000 years old in a child body. She is just SHORT.