I'm writing a political system where women hold a higher rank in society than men. Almost immediately, I ran into an issue with the naming of locations.
Now, if a land ruled by a king is a kingdom, a land ruled by a queen can be a queendom. However, what are the equivalents for other titles? A duke rules a duchy, but what about a duchess? If I were to go Holy Roman Empire on this world and have a large variety of titles each with their own names for the ruled areas, I would need equivalent names of the locations. Since this world is explicitly matriarchal, male-by-default terms such as 'kingdom', 'duchy', and 'county' can't be utilized, so I'm wondering if there is a standard set of terms such as 'queendom' for other titles.
If none exists, I'll end up inventing my own set, but it would probably be preferable to follow existing conventions if they exist.
Please let me know if this is off topic for Worldbuilding SE. I don't believe it fits for Writing SE or SFF SE, so I'm posting here.