Jonathan R. Cohen, a veteran American diplomat who had been the deputy permanent representative at the United States Mission, has been serving in the top role pending a replacement. He was nominated to be the ambassador to Egypt in April.

Ms. Craft’s nomination has drawn criticism from environmentalists because of her family’s ties to the fossil fuel industry, considered a major contributor to climate change.

Her husband, Joseph W. Craft III, is a billionaire Kentucky coal magnate, and the Crafts were big contributors to Mr. Trump’s 2016 campaign.

Ms. Craft has not disputed Mr. Trump’s decision to withdraw the United States from the Paris climate accord, which seeks to limit global carbon emissions and halt the global rise in temperatures. But at the confirmation hearing she tried to make clear she does not deny the existence of climate change.

“Climate change needs to be addressed, as it poses real risks to our planet,” she said in a statement. “Human behavior has contributed to the changing climate. Let there be no doubt: I take this matter seriously, and if confirmed, I will be an advocate for all countries to do their part in addressing climate change.”