Although I have also seen similar claims on social media where right wing influencers claim that trump is not sexist because he chose the first female chief of staff, the specific Fox News article that you linked does not make that same claim. Instead, the source announces Trump's Chief of Staff pick, Susie Wiles, and discusses her past political career. In the video included in the article, the Fox News host converses with Historian Goodwin about past important political elections for democrats and republicans and relates them to today.
However, your claim is still technically correct because right-wing influencers have praised his choice of Susie as proof that he doesn't hate women (despite the numerous sexist and deragoratory claims he has made about women). Here is a link to a tik tok of an influencer combatting people who says he hates women by claiming he put Susie Wiles as the first female chief of staff, so he can't hate women.
https://www.tiktok.com/@margaretanneneal/photo/7434709709552356654