Orthodoxy refers to the traditional and accepted beliefs and practices of a particular religion, ideology, or system of thought. Therefore, antonyms for the word "un-orthodoxy" would include words that convey this sense of conformity and adherence to established principles. Synonyms for orthodoxy could be tradition, convention, conformity, conservatism, adherence, and conformity. Conversely, antonyms could be innovation, creativity, free thinking, unconventionality, deviation, and unorthodoxy. These antonyms can suggest a break from traditional thinking, methods, and beliefs, opening multiple opportunities for adopting new and untested ideas. However, it is worth noting that unorthodoxy can also be perceived as deviating from what is considered normal or ethical.