Early in Eric Adams’s tenure as mayor of New York City, he was known for asking, “When does the hard part start?” That’s how he once put it to The New York Sun when he was asked how he was doing early in his mayoralty. Well, it looks like the hard part has arrived.

Mr. Adams is facing a convergence of events — from the deepening migrant crisis to criticism for closing public libraries to a budding corruption scandal at his re-election campaign and even an accusation, which he denies, of sexual assault — and it’s taking a toll on New Yorkers’ opinions of their mayor.