nonconformity n.

a prefix used freely in English and meaning "not, lack of," or "sham," giving a negative sense to any word, 14c., from Anglo-French noun-, from Old French non-, from Latin non "not, by no means, not at all, not a," from Old Latin noenum "not one" (*ne oinom, from PIE root *ne- "not" + PIE root *oi-no- "one, unique"). In some cases perhaps from Middle English non "not" (adj.), from Old English nan (see not). "It differs from un- in that it denotes mere negation or absence of the thing or quality, while un- often denotes the opposite of the thing or quality" [Century Dictionary].

early 15c., conformyte, conformite, "similarity, correspondence in form or manner," from Old French conformité (14c.), from Late Latin conformitatem (nominative conformitas), from conformis "similar in shape," from conformare "to fashion, to form, to shape; educate; modify," from assimilated form of com "together" (see con-) + formare "to form" (see form (v.)). Meaning "action in accordance with some standard" is from late 15c.; that of "adherence to the Church of England" is from 1620s. Modern spelling is from 17c.