Games should always be socially acceptable, and my recommendation is for you to look for women who, even if they don't play, would be willing to try something. Start with something that's easy to learn and that you can play together, like Bomberman (the old SNES ones are still great). Coop will always work better at first, it makes a clear message that you're not there "to win", you're there "to teach"
I strongly suspect most women don't play because they see games as something "for boys". Not many ever had the opportunity to play anything when they were younger and most dismiss the games they actually play, like Candy Crush or whatever, as "not really games".
My ex never bothered with games, despite playing some flash stuff back in the late 2000's. To her surprise, she actually enjoyed playing Tekken 6, Torchlight 2 and Kirby Star Allies, all of which I gave her a chance to play. I also presented many other games, but she didn't show any interest, so I didn't push them. Even my mom, who always despised me and my games, plays one of those Hidden Objects games every day (used to only play Solitaire and Freecell).
My nephews don't have a videogame or PC for themselves, but on 2 occasions that I set up something for them to play, they had a blast, once beating each other on Street Fighter 2, the other getting lost and yelling at each other in Super Mario 3D World.