The practice has drawn renewed attention in recent years, especially after the resurfacing of a 2002 comment by Vice President Mike Pence that he would not eat alone with any woman other than his wife.

That led to a fierce debate among Americans, with some arguing that such limitations on interactions are necessary in the workplace, and others saying that they are unfair to women in professional settings and reduce them to sex objects.

Ms. Campbell, 40, wrote in her article on Tuesday that she and her editor had decided that the request was sexist and “an unnecessary use of resources” given her experience. She has interviewed Mr. Foster numerous times and broke the story of his candidacy. Mr. Robison would also have been present during the trip. But the campaign would not budge, she wrote.

After the article was published, Mr. Foster responded on Twitter that he and his wife had committed to following the Billy Graham rule before he announced his candidacy.

“I’m sorry Ms. Campbell doesn’t share these views, but my decision was out of respect of my wife,” he wrote.