It might be deaf to the broader themes of the series but it is also just the reality of the setting.
Woman in the Aiel hold far more power then men, only woman get a vote on who can be a chief, only woman can own roofs, woman can deny any one from coming under there roof even there own clan chiefs/husbands and even if it splits in the clan in doing so.
Men get to lead other men out in the field and make some decisions for the clan but don’t have any where near as much power as the woman.