foxiness vs shrewdness

foxiness and shrewdness both are nouns.

Word	Noun	Adjective	Verb	Adverb
foxiness	Yes	No	No	No
shrewdness	Yes	No	No	No

As nouns, shrewdness is a hypernym of foxiness; that is, shrewdness is a word with a broader meaning than foxiness:

foxiness: shrewdness as demonstrated by being skilled in deception
shrewdness: intelligence manifested by being astute (as in business dealings)

Other hypernyms of foxiness include astuteness, perspicaciousness, perspicacity.

foxiness (noun)	shrewdness (noun)
shrewdness as demonstrated by being skilled in deception	intelligence manifested by being astute (as in business dealings)