latitudinarian

nouns

a person who is broad-minded and tolerant (especially in standards of religious belief and conduct)
domain category
a strong belief in a supernatural power or powers that control human destiny
"he lost his faith but not his morality"
is a type of (narrower)
a person who favors a political philosophy of progress and reform and the protection of civil liberties

adjectives

unwilling to accept authority or dogma (especially in religion)
is derived from
is derived from