#eiki refers to her as a leader in vfis but i think i read somewhere that was a slight mistranslation?

[occasionaltouhou]

does hecatia have any actual duties as goddess of hell, like the admnistration, or does she just do fuckall all day because she's the boss and she can do what she wants

nope! she's not part of the bureaucracy of hell at all. she's "a goddess of hell", not "the goddess of hell", for one thing - we can assume there's a lot of other afterlife deities still down there too. hecate isn't even the major underworld deity of the myths she's from, after all

anyway, as she notes in her afieu interview, hecatia's not involved in the stuff that the yama are doing. she actually specifically notes it's a kind of reactionary movement by them to re-establish order from the chaos of the anarchic "might-makes-right" hell. her stance is more-or-less "sure, whatever" about it, but she definitely doesn't work for them. she definitely does do fuckall all day though