The "Girl Feared by Evil Spirits". Stage 4 boss of Touhou's Subterranean Animism and the title character in Foul Detective Satori.
Mistress of the Palace of Earth Spirits whose power as a satori - to read minds with her "third eye" appendage - caused even youkai to fear her, but made her well-loved by animals. She is the master of Kaenbyou Rin and Reiuji Utsuho, keepers of the Hell of Blazing Fires, and older sister of Koishi.
Person: short hair, pink hair, purple hair, messy hair, pink eyes, purple eyes, red eyes, third eye, eyeball
Outfit: collared shirt, blue shirt, frilled shirt collar, ribbon trim, heart button, long sleeves, frilled sleeves, wide sleeves, pink skirt, long skirt, frilled skirt, floral_print, rose_print, white legwear, bobby socks, socks, red footwear, pink footwear, slippers
Accessories: black hairband, heart hair ornament, heart of string, noose
Note that while Satori's third_eye does in fact form a noose with one of its cords, tagging noose should ideally be limited to posts where there is a focus on the noose.
A good example of this is post #5023591.