There's definitely a point to be made about representation in leadership roles, but hosting a Mastodon instance is still an incredibly niche thing. As others have said: there are black-led instances, queer-led instances, women-led instances, but perhaps not all 3 in the same person.
@benj_red @flugennock With that said: it's still possible for one to exist! Mastodon as a whole is far more queer than average, so "queer-friendly" is the majority of instances. I think the closest to what you initially asked for is computerfairi.es, which is run by a latina trans lesbian. playvicious.social is the most visibly black instance. Any randomly-selected admin is more likely trans than not. I'm just not sure there's any place keeping track of this info.
Crunch the numbers however you like, if people fitting that description are underrepresented (I'm still waiting to hear evidence they aren't) that's probably worth paying mind.
Cybrespace is an instance of Mastodon, a social network based on open web protocols and free, open-source software. It is decentralized like e-mail.