The logic behind these claims seem to have been left out of the article:

NASA boss says first person on Mars ‘likely to be a woman’

“The answer is absolutely. In fact, it’s likely to be a woman, the first next person on the Moon,” Bridenstine said. “It’s also true that the first person on Mars is likely to be a woman.”

If there was a practical reason for this, fine. Like if women are substantially better adapted to low/no gravity, or if the astronaut corps was predominantly female, or if they already know who they plan on lobbing at the Moon and Mars because they’ve held the trails and it turned out that the clearly best candidates were women… sure, fine. But as it is, it doesn’t make a lot of sense. This is likely to be either “International Soviet Women’s Day” pandering or signs that NASA is being overrun with SJWs at the highest levels.

The administrator said that “NASA is committed to making sure that we have a broad …  on the Moon.”