TLDR: "Across all genres, a woman at the helm meant more acting roles for women."
This guy's articles are worth the read though - it's from him that I found out that the vast majority (over 90%) of directors never get to make more than one film. Of the remaining 10%, the chance of making another go down with each film, unless you're part of the small group of outliers - the few dudes who are able to regularly output stuff.