Is the word faith a compound or possessive noun?

The noun 'faith' is not a compound or a possessive noun.

The noun 'faith' is a singular, common, abstract noun; a Word for complete trust or confidence in someone or something; a Word for strong belief in God or in the doctrines of a religion; a Word for a concept.

A compound noun is a noun made up of two or more Words that are combined to form a noun with a meaning of its own; for example:

bathtub

six-pack

bus stop

A possessive noun is a noun indicating ownership, possession, purpose, or origin by adding an apostrophe -s ('s) or just an apostrophe (') to the end of a Word; for example:

doctor's office

dog's tail

book's cover