A demonym is
a noun used to denote the natives or inhabitants of a particular country, state, city, etc.
For example, Europeans are from Europe; the word "Europeans" is the demonym of "Europe". What, if any, is the religious counterpart to this?
I'm looking for a word that describes the subset of words that includes "Christian(s)", "Muslim(s)", "Buddhist(s)", etc. Or, put another way, a word that completes the sentence "the word 'Muslim' is the ____ of the word 'Islam'"
edit: a similar question has been asked here. The options in the accepted answer seem to indicate a misunderstanding of the question, and the most appropriate answer – that was later edited in – cites a source that claims 'demonym' can be used for any word denoting the names for people of any type of community affiliation. I have been unable to find any source other than this that makes a claim that a demonym is anything but a word denoting the natives/inhabitants of a place, so I don't accept the accepted answer given to that question as the answer to this question