“My friends, you know, love me and vouch for me, and I think that stands on its own,” he added.
The reporter tried to push the issue, but the event director, Nick Alexakos, put a stop to the questioning.
Shortly after the news conference, Mr. White appeared on NBC’s “Today” show and apologized for his word choice.
“I’m truly sorry that I used the word ‘gossip’,” he said. “It was a poor choice of words to describe such a sensitive subject in the world today.” He said he had been “overwhelmed” by his medal victory.
“I’ve grown as a person over the years,” he went on. “Every experience in my life, I feel like it’s taught me a lesson. And I definitely feel like I am a much more changed person than I was when I was younger.”
In his statement to The Times, he reiterated how proud he was about winning the gold, expressed regret for his past behavior and added, “I have grown and changed as a person, as we all grow and change, and am proud of who I am today.”
In 2016, Lena Zawaideh, the former drummer of Mr. White’s rock band Bad Things, filed a lawsuit against him claiming that he had sexually harassed her and tried for years to “impose a strict regime” over her, asking her to cut her hair and to wear revealing clothing and underwear.
According to the suit, Mr. White made vulgar sexual remarks to her, sent her sexually explicit images of “engorged and erect penises” and forced her to watch sexually disturbing videos.
The suit, which refers to Mr. White as the “face of modern extreme sports,” also alleged breach of contract and wrongful termination from the band.
The lawsuit was settled in May 2017 for an undisclosed amount.
A person close to Mr. White said that Mr. White believed at the time the messages that he was exchanging with Ms. Zawaideh were consensual, and said that Ms. Zawaideh reciprocated.
A representative for Ms. Zawaideh said that she was not available for comment.
The revelation of Ms. Zawaideh’s accusations against Mr. White, who has earned three Olympic gold medals in his career, comes amid the #MeToo movement, which has catalyzed women to share their stories of mistreatment with a goal of holding men in power accountable.