It goes without saying that if Boehner has engaged in conduct that's obviously wrong, he should resign and get out of the way. The point of November 2 is to turn the country around; it's not about any one individual politician.
But given the NY Times' proclivity for dropping unsubstantiated dirt on Republican candidates -- remember the apparently baseless allegations made about John McCain having an affair? -- there's reason to believe this is little more than Times politicking (a sad end to a once-great newspaper, incidentally). The woman who's been fingered as the supposed other party in the affair has denied the allegations entirely: "I found it to be highly insulting, particularly as a female political professional, as well as unfounded. Beyond that, I have no further comment on the matter."
Good for her. When the Times starts a campaign that looks on female professionals' reputations and careers as nothing more than collateral damage in a partisan political assault, it should be offensive to -- and denounced by -- all women.