But no, they have to rule the world, too.
Both in Imperial China and the Ottoman Empire, they initially made the mistake of bringing eunuchs into their government. They both quickly realized that, having nothing else to occupy their time, eunuchs spent all of it intriguing for more power.
This led to firm rules that they should never, ever, be put in positions of power.
It is a good rule to be aware of, as it still applies, for the same reasons.
Now that would be a question you have to ask of Hillary Clinton
One of the few women I know who is an open lesbian has this notice on her cubicle: “You want my guns? I might be blond but I’m not stupid.”