contrary vs wayward

contrary is a noun but wayward is not a noun.

Word	Noun	Adjective	Verb	Adverb
contrary	Yes	Yes	No	No
wayward	No	Yes	No	No

As adjectives, contrary and wayward are synonyms defined as:

Other synonyms of contrary include obstinate, perverse.

contrary (noun)	wayward (noun)
exact opposition
a relation of direct opposition
a logical relation such that two propositions are contraries if both cannot be true but both can be false

contrary (adjective)	wayward (adjective)
of words or propositions so related that both cannot be true but both may be false	resistant to guidance or discipline
very opposed in nature or character or purpose
resistant to guidance or discipline
in an opposing direction