wayward vs contrary

wayward is not a noun while contrary is a noun.

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

As adjectives, wayward and contrary are synonyms defined as:

Other synonyms of wayward include obstinate, perverse.

wayward (noun)	contrary (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

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