Reapers, Inc. - Brigit's Cross by BL Newport.
Lesbian dies. Doesn't go to hell. Is instead recruited by the last of the Grim Reapers. Hijinkx, largely unrelated to sexuality, ensue.
Interesting reading this because it's clearly a self-published e-book that hasn't been edited professionally, has a few really missed opportunities (like for instance, Brigit makes the transition from corporeal life to ghost life with next to no culture shock at all), and yet remains mostly readable and interesting. The story is of how Brigit really loves her wife and doesn't want to leave the mortal coil so she accepts to work as a reaper. It's fairly simple-mindedly romantic, but still sweet and interesting. There's a lot of her interacting with people (who are for the most part also dead), and perhaps that's why the other issues can be glossed over (no matter how clear it becomes that "as" is the author's favourite preposition).