the quality or state of being different from or contrary to what is conventional or orthodox, the quality of deviating from a established religion, acknowledged standards, or traditional beliefs;
e.g. Some believed that her heterodoxy made her a revolutionary in the field, while others thought it made her foolish.
(noun)
an opinion or principle that deviated from or opposes standard or orthodox beliefs;
e.g. He presented them with his latest heterodoxy, making them wonder if he was crazy.