Death's role within the City:
communicate with + plot with dead PCs, although this will need mod permission each time you do it
communicate with those dead NPCs that don't go to the City equivalent of the afterlife
help some of the dead NPC ghosts that don't/haven't gone there get in/move on, although she can't enter it herself
her ~special connection~ and such with people who have died before, PCs obviously since NPCs are dead for good when they go