TruNews, which Mr. Wiles founded as an online radio program in 1999 called America’s Hope, has a history of spreading conspiracy theories and proclaiming an imminent apocalypse. It drew more scrutiny in November after Mr. Wiles, in an online video, accused Jews of orchestrating Mr. Trump’s impeachment.

“That’s the way Jews work,” Mr. Wiles said. “They are deceivers. They plot, they lie, they do whatever they have to do to accomplish their political agenda. This ‘Impeach Trump’ movement is a Jew coup, and the American people better wake up to it really fast.”

Mr. Wiles also warned his listeners that “when Jews take over a country, they kill millions of Christians.”

Afterward, Representatives Ted Deutch of Florida and Elaine Luria of Virginia, wrote to the White House asking why TruNews had been allowed to attend presidential events. They did not receive a response.

The White House declined to comment for this article. In the past, the administration has faced lawsuits after revoking press credentials from reporters from CNN and Playboy.

On the phone from Switzerland, Mr. Wiles explained how his Davos trip had come about.

“We’re on a list of media organizations at the White House and from time to time they send out notices that there are events taking place,” Mr. Wiles said, adding that his team had also covered Mr. Trump’s visits to NATO summits and Group of 20 gatherings. He said that he received an email from the White House about the Davos trip and that his request to attend was approved.

The team from TruNews — three correspondents and a two-person production crew — stayed at a hotel where the White House had reserved a block of rooms for the use of American journalists. (As with a wedding block, those who used the rooms paid the hotel directly.) Reporters spotted Mr. Wiles at the breakfast buffet at the hotel, the Privà Alpine Lodge.