Proof that Satori does appear in the anime: http://www.animate.co.jp/aniten/img/aniv_10th/colab04.jpg
Satori is the Mistress of the Palace of the Earth Spirits after the underground city was separated from Hell. Her ability to read "minds" makes various youkai and spirits fearful of her, while leaving her well-loved by the animals that normally can't be understood. With these animals as pets, she manages the ruins of inferno where her home stands. Her great number of pets made it difficult to manage the Hell of Blazing Fires, so she entrusted parts of its management to some of her pets.
Her pets would oversee other pets. Her pets would tend the gardens. Her pets would play with her younger sister.
However, what shouldn't have happened did: a human came from above ground, and she was surprised when they started asking about evil spirits and a geyser. Satori left Orin in charge of the evil spirits and Utsuho in charge of the Hell of Blazing Fires. They were both loyal to Satori, so they shouldn't have done any harm. She believed there was no way they'd start some sort of incident. She thought that perhaps the human before her was spouting off lies and trying to trick her, so she read her heart and was surprised again by what she saw.
There was almost nothing to be seen inside the humans' hearts about the evil spirits or the geysers. Suspicious, Satori decided to test them. After an encounter, she permitted the Heroine passage towards the Hell of Blazing Fires to ask her pets about their supposed problem. The characters for Komeiji literally mean "ancient and pure/bright earth". Satori isn't written in kanji, but it's pronounced the same as "satori" (), which means "enlightenment, profound understanding", as well as the name of her youkai species.