The diety quests are specific only to one god, so unless you follow Cazic Thule you can't use (and probably can't quest either) the necklace from Paineel.
If you follow Innoruuk, the quest starts with Perrir Zexus, whos primary faction is
Priests of Innoruuk. Besides the neck quests themselves, it looks there is no creature to kill to improve this faction, and only the
Visting Priestess quest to improve it besides, which is not very easy to spam/complete.
Since you follow the correct god, its your race stopping you (assuming you haven't been slaughtering Dark Elf clerics).
Options I can think of:
- Do the quest in Illusion
- Have the quest-giver charmed (unlikely)
- Use a click from the Faction Necklace
It may be a bug, that human-inny clerics can't do the quest, because they don't start high enough /consider to get it. The quest is clearly aimed at humans completing it (and troll shamans) so... I'm unsure.
Good luck! I'm curious if you are able to find a work-around