Unwilling to accept authority or dogma (especially in religion)(adjective)
WordNet. Princeton University. 2010.
Use "undogmatical" in a sentence
"Conservative opponents in his own party, and there is just a possibility that the next few years may bring about not only a healthy measure of social development, but also a much-desired readjustment of parties, on non-theological, undogmatical lines."
"The force which is shaping the future, is it with the Ritualists or with the undogmatical disciples of a purely moral creed?"