candidacy vs candidature

candidacy and candidature both are nouns.

Word	Noun	Adjective	Verb	Adverb
candidacy	Yes	No	No	No
candidature	Yes	No	No	No

As nouns, candidacy and candidature are synonyms defined as:

Other synonyms of candidacy include campaigning, electioneering, political campaign.

candidacy (noun)	candidature (noun)
the campaign of a candidate to be elected	the campaign of a candidate to be elected