Hunter Biden, whose conviction on gun and tax charges and subsequent pardon by his father caused a furor on right-wing media, recently sat for a warm, nearly two-hour interview with Candace Owens, a popular right-wing podcaster and conspiracy theorist.

The interview was filmed last week at Ms. Owens’s home in Nashville and released Thursday. It came at a moment when Ms. Owens has joined a small but influential group of conservative voices who have turned on the Trump administration over the war with Iran and the government’s handling of files related to the disgraced financier Jeffrey Epstein.

Mr. Biden has given few interviews since his father, Joseph R. Biden Jr., left office as president. But the younger Mr. Biden found time for Ms. Owens, who has been accused of defamation in recent lawsuits filed by the French president and first lady, and by the former head of security for Charlie Kirk, the prominent right-wing political activist who was killed in September.

Mr. Biden’s appearance with Ms. Owens brought together two figures who find themselves out of step with their longtime parties. Mr. Biden has been fiercely critical of Democrats’ effort to push his father to withdraw from the 2024 presidential race. Ms. Owens says she feels “betrayed” by Mr. Trump.

The genial meeting would have been all but unimaginable during the Biden administration — a period in which Ms. Owens called for the younger Mr. Biden’s imprisonment. But during the conversation, they seemed to find plenty of common ground.

Here are five memorable moments from the unusual interview:

Mr. Biden said cocaine found in the Biden White House was not his.

The conversation began with what Ms. Owens described as a “question for the culture”: whether cocaine discovered in the White House during his father’s presidency belonged to the younger Mr. Biden, who had a decades-long addiction to alcohol and crack cocaine.