No! Unless she proves she's loyal it's way too risky. She could just cut everyone's throat in their sleep for Shaar, or whatever twisted reason pops into her messed-up head.
To be fair, a chronically good character wouldn't ever know she worshipped Shar. Pushing her to spill her biggest secret, isn't something a good person would typically do.
It's that she's such a contemporary character, it's easy to associate her with someone you dislike in real life - that's what happened to me. This is exactly why I don't support adding modern personalities into fantasy games.
That's an interesting approach to life.
I always treat people as unique individuals. Despite my background in psychology, despite having met LOTS of people, thus having reasons to group people into categories and noticing similarities between people... I always try to take people as unique individuals and give them the benefit of the doubt rather than pre-judge them based on someone completely different (Which is honestly a necessity at this point, otherwise I'd consider EVERYONE to be an insufferably awful person)