Not really certain. Three general trends:
First,
Generally I'm dealing with outcastes, ie adventurers so they don't have many hard and fast rules in the first place. There may be more male fighters and more female thieves, but gender certainly doesn't give you a social advantage when you are all more or less at the bottom of the heap.
Specifics:
Of the two most important societies:
Enlightenment Matters. You are or you aren't, genders got nothing to do with it.
One relied on a more or less academic system. There were people who had attained the highest state of enlightenment and everyone was organized underneath them. You were a part of one of these mega households, your status depended on a mix of your universally recognized accomplishments and the whims of the household head. Getting to that state of enlightenment really had no correlation to gender, save that women live longer and therefore had the ability to hold households for longer. When you're head of household died you might have some means to pass to a successor, but if you really had no place to go within the system you still weren't in bad shape since being a member of a household gives you a lot of status. You can get a position with another one, set yourself up as an independent, or go to another society. At the top romance is really seen as nothing too get upset about, and at the bottom it's seen as everything from a means of advancement to a distraction. Children are viewed as a very very important communal affair, as you never know who might be the next enlightened one on the one hand and on the other nobody wants to have an individual set of parents have to close a relationship to one of them either.
Twins are the norm. So you're really only the male or female half of an androgynous whole.
The other was a society of giants who tended to produce fraternal twins of different genders. The basic individual unit was that twinset. Offices were held by twins and households involving large groups of servants were built around them. If one half of the twinset died or they couldn't get along they would go through whatever they could to again qualify for twin status. Tactics ranged from picking up another single to spiritually absorbing the essence of the missing twin.
Incest was probably a reality of the society, but the official means of having children was that you had to set up a reproductive alliance with another twinset. Such an alliance could be long term and actually consist of affectionate relationships, but the 'nuclear' family was that of son and daughter and mother and uncle. Father and aunt were seen in more or less the same affectionate light and lesser legal status as grandmother and grandfather.
The twinsets with the highest advantages are those who can best embody each other's traits. As such the highest ideal are people who can be manly or womanly but who can easily access and utilize the opposite traits.
Still, at the time of the game there had been rash of royal and high ranking twinsets who were actually the remaining woman after particularly heroic episodes, so there might be a societal trend towards women developing at the very highest levels at the least or, at the worst, a conspiracy developed by the Queen.
The queen is an ancient giantess, noone has seen her brother outside of the fact that she frequently dresses in drag and claims to be him. The performance is very convincing for a... number of reasons.