willing vs option

willing and option both are nouns.

Word	Noun	Adjective	Verb	Adverb
willing	Yes	Yes	No	No
option	Yes	No	No	No

As nouns, option is a hypernym of willing; that is, option is a word with a broader meaning than willing:

Other hypernyms of willing include choice, pick, selection.

willing (noun)	option (noun)
the act of making a choice	the act of choosing or selecting
	one of a number of things from which only one can be chosen
	the right to buy or sell property at an agreed price; the right is purchased and if it is not exercised by a stated date the money is forfeited

willing (adjective)	option (adjective)
disposed or inclined toward
not brought about by coercion or force