A "theocracy" is run by religious and political leaders, whereas a "patriarchy" is run by men only, although it should be noted that the two are not mutually exclusive in the sense that it would be possible to have a theocracy run by only men.
Seminoles had a form of democratic government. After the Seminole wars, the democratic government did not work. Since the democratic government didn't work, they formed a clan which is a group of related family members. They picked one leader and his name was Osceola.
