Since the November election, Gov. Kathy Hochul of New York had preached patience in dealing with President Trump, favoring a more deliberative, compromise-building style that has guided her tenure.

But this week, Ms. Hochul seemed intent on following a different course.

After Mr. Trump announced his move to kill New York City’s congestion pricing program, the governor responded on Wednesday with uncharacteristic drama and anger.

She invoked “Rambo,” the Sylvester Stallone film franchise, saying that Mr. Trump would answer for drawing “first blood.”

She took a jab at Transportation Secretary Sean Duffy’s time as a reality television contestant, and displayed a Trump-like showmanship when she derided the president for likening himself to royalty.

“At 1:58 p.m., President Donald Trump tweeted, ‘Long live the king,’” she said at a news conference. “I’m here to say, New York hasn’t labored under a king in over 250 years and we sure as hell are not going to start now.”