"no candidacy" is correct and usable in written English.
It is typically used to indicate a lack of interest in a position being offered, or a lack of eligibility to be considered for a position. For example, "I am sorry, but I must decline your offer, as I have no candidacy for the position."
I plan no candidacy, but I want my military autobiography to be clear and truthful.
Conservative MP Mark Field has urged Tories to "hold their fire" in seats where Lib Dems risk defeat by Labour: that could mean putting up a nominal Tory candidacy or no candidacy at all.
No candidacy goes entirely smoothly, and it is to Davis' great benefit that the question marks about her background surfaced in January rather than July.
Smith's Candidacy—No Laughing Matter," Healy underscored President Kennedy's assessment of Smith as "formidable".
"No base of support"), the former Virginia governor Jim Gilmore ("Jim who?"), the onetime Maryland governor Bob Ehrlich ("No rationale for candidacy"), and the former United Nations ambassador John Bolton ("No electoral experience or donor base").
Mr. Romney, for example, called his 2010 book laying out the rationale for his candidacy "No Apology" — charging, falsely in the eyes of many independent fact-checkers, that Mr. Obama had traveled the world apologizing for America.
And while many women champion Mrs. Clinton's bid for the White House as the obvious next leap across the gender gap, others say her historic candidacy no longer carries the same urgency as it would have, say, for their mothers' generation.
"I was happy to say yes, because at that stage there was no Rudd candidacy," he said.
But no, his candidacy and its potential consequences for Paychex have not been mentioned in the company's reports to shareholders, Mr. Morphy acknowledged.
Unlike Trump, the presumptive Democratic nominee has real policy ideas but there's no broader mission behind her candidacy, no sense of purpose higher than Clinton's own advancement, which she justifies with her deep political knowledge and experience.
"There's no rationale for the candidacy, and no votes for it".
