I could also go on in support of Trek by saying it was the first multimedia universe in which men and women were truly equals. Women possessed just as much power as their male peers. They, the women, held positions of power ranging from starship Captains to Fleet Admirals. I will also add that women belonging to minorities were in these positions of power and importance too. If you decide to rebut this argument try not to use the Princess angle.
Princesses are, by nature, women who hold high importance both socially and politically.
They are BORN into this power. It is given to them. They do not earn it. There are just too many instances of minorities who portray roles with power in Star Trek. The most prominent are Hikaru Sulu and Ben Sisko.