Not sure if this is an 'exit door bug' as described above. I cleared the dungeon and spoke with the NPC, going through all dialog options ending with "it's safe, leave". She just stood there. I walked away and she remained in the spider cave. I left assuming she'd exit on her own without checking for the quest update. Sometime later (4-8 RT hours) I realized that the quest never updated and I travelled back to the cave to see what's up. As soon as I re-entered the cave the quest updated and was marked as completed. I saw no sign of the NPC before or after my re-entry to the dungeon. Thankfully I didn't have to go through some of the amusing efforts of other folks to shout her out the door.
no thats just another little glitch that can happen once in awhile anywhere in the world, i've seen it happen with followers, where they will just stand there and not follow you even if you tell them to wait then follow. Usually exiting the area your currently in will cause the script to fire off, or fast traveling to a new area. Occationally, live you've noted here, it happens with npc's that are sapose to run out of the area, usually leaving and returning corrects it. Its pretty much like a script wasn't executed that should of been (i.e. make her run from there to the door and exit), but returning, like going back to a bandit camp you didnt kill the bandit at, causes the script to be executed again and the npc does what they were meant to.