Put simply...

Seekers: fight for breeding rights as a Nunh. There's one Nunh for every 50-100 females. Note that being Nunh doesn't mean you're the tribe's leader. Otherwise you're a Tia, and expected to fight a Nunh for breeding rights to prove your worth at some point. Otherwise Tia perform similar tasks to the females: hunting and gathering, or else strike out on their own.

Keepers: males have no place in domestic affairs, and wander the land whenever they're not staying with the matriarchal families for short periods of time (and have to bribe their way into doing that much).

... I'd not quite go so far as to say Miqo'te society is misandrist... they're supposed to be based on real-world lion prides, the Seekers anyway... but I can easily see why males would turn to villainy in light of how grossly imbalanced Miqo'te society is.