Maybe, but be careful that this argument is circulated in good faith and not just as a cover for getting another dude over the line into the job. Especially if it's a job that has never been done by a woman, so you really don't know how they might do it better.

For example, it's been widely observed that on the whole, countries with female leadership understood and managed COVID better than the rest— acting sooner, more decisively, and in a way that both started and stayed aligned to the evolving scientific understanding. A sprinkling of articles across varying dates:

https://www.forbes.com/sites/avivahwittenbergcox/2020/04/13/...

https://www.bloomberg.com/opinion/articles/2021-01-31/women-...

https://www.usnews.com/news/best-countries/articles/2021-03-...