latitudinarian vs free-thinking

latitudinarian is a noun but free-thinking is not a noun.

Word	Noun	Adjective	Verb	Adverb
latitudinarian	Yes	Yes	No	No
free-thinking	No	Yes	No	No

As adjectives, latitudinarian and free-thinking are synonyms defined as:

latitudinarian and free-thinking: unwilling to accept authority or dogma (especially in religion)

Other synonyms of latitudinarian include undogmatic, undogmatical.

latitudinarian (noun)	free-thinking (noun)
a person who is broad-minded and tolerant (especially in standards of religious belief and conduct)

latitudinarian (adjective)	free-thinking (adjective)
unwilling to accept authority or dogma (especially in religion)	unwilling to accept authority or dogma (especially in religion)