How are women not being given a chance to prove themselves? That's something you can ALWAYS point to whenever and wherever women underachieve. That it's because of the "patriarchy" or some bullshit like that. Yes it's completely understandable if men prefer to play with men, but if women were equal in such a thing as video games why aren't there all female teams beating the crap out of everyone, or at least being competitive?
The biggest reason is interest, and that matters a lot. Women don't perform as well as men do because they're less motivated to do so. They're probably also slightly less capable when speaking of things such as video games in terms of reaction speed, spatial ability etc but that's another point.
Women are just different man, accept it. I'm seeing it now with some of my friends who have had daughters recently. Their mothers stumble over themselves to make them "gender neutral" but to their great dismay young girls still wanna be princesses and it's all they talk about. Big surprise huh?
Women have so many options in life, if they wanna try to achieve they can and some do, but most won't because they're already useful in society, they can make babies. They have immense social power over that, and they also have great sexual power over men. So they are much less incentivized to sacrifice things in their life to get really good at something, like math, or science, or video games, or practicing playing a guitar until your fingers bleed. Maybe women could, but they don't and they won't.
Edit: To speak to your point, no women are not oppressed if men don't want to play video games with them. Men wanna fuck women, that's their nature. If women are around that's what they're thinking about, so if they wanna focus on something it's better if there are no women around. That's nature and you can't change that. Studies have been done on that subject. That is NOT oppression. The word has been inflated to mean just about anything when it's about FORCING people with VIOLENCE to do something.