Hermione doesn't inquire as to the religious beliefs of others. It isn't important, not unless those beliefs are being used to actively suppress a particular set of people. Of course, given what she's heard of the Chantry and of the Qun, that's pretty much all Thedosian religion seems to do.

"Every likely successor shouldn't have been in the Conclave," Hermione points out. "At least one person should have remained somewhere safe, in the event of something like what actually happened. But there have to be others who are eligible for the position that can at least fill in for the interim, if not as an official Divine. That should at least see to it that there isn't an empty seat and that not too much time is wasted finding just the right person when there are so many other things going on in the world."