Actually I think the girls are trying to get more games designed around themselves as a major fanbase instead of just getting basic appeasemant-city as their toss outs from many game developers everywhere. So... much like equal rights movements and the like, they are just trying to get the some equality and fair treatment so the gaming market will cater to them a little bit more. Almost every major developer makes the game geared mostly for men or boys as their target demographic even today. RPG's aside you have very few games that give them another option other than as one girl put it earlier (paraphrasing!) "getting in another sausage".
Now I am a male gamer and I do not think girls should flaunt there gamer status like the OP did but I can understand the frustration that she might have and the gratitude that a game made her feel like it catered more to her than it did to the male gender. Even though it still was pretty geared towards males with the whole "concept of the Dovahkiin as a Nord man" thing. There is progress being made though in regards to more games catering to both genders so that is good imo.
How should the gaming market cater to women more, though? I'm not sure I understand your statement. I have either missed something, or Skyrim really is overtly masculine even if you play a female character. I've always played female characters in games and never felt that the games have been more geared towards masculine characters.
I'm also not sure what you mean by getting games designed "around themselves as a major fanbase." Now I'm not a massive gamer, I've only played a comparatively small selection of games so I am sincerely asking this question as someone with relatively little experience in the wider gaming world, but what games are geared mostly for men? I understand that you might mean that some games force you to play as a man, but in that respect is it right to design games that allow you to play both genders? Then you should be able to play all races, all ages, all weight and height sizes....characters are designed to fit the story, be they male or female. It's like reading books in which the protagonist is a male. No-one goes around complaining that the book had no option for a female protagonist. The characters are designed and I presume the gender is set in order to make the storytelling much easier, rather than having to give an alternate gender for every single gender-focused piece of dialogue. I've never found playing a gender opposite to my own to detract from the story and the game, because it is like reading a book, or watching a movie. But maybe I'm an exception. Oftentimes men are forced to play female characters, too.