For name / identity:
The Variant and it's essentially Loki
The Twister of Plots and it's sort of a cosmic tasmanian devil (because twister)
The Holy Deviant Emperor/Empress (Emprex?) and it's basically tarot emperor as mad queen, like a glam Elagabalus
For stuff it does:
Cross quarters - Every die turns one face in the direction of its quadrant (so any die in spring/mind turns one face up/left, etc...)
Divine justice - You may arbitrarily choose a more preferable face for any single die (or every die in a quadrant of your choice, maybe?)
Unforeseen consequence - Close your eyes and select an unrolled die from the bag. Without looking, remove and replace one die from the board.