Yes, a lot of stuff that was considered 'geeky' isn't now.
Everyone has tablets and smartphones and browses the Internet. Science Fiction films are mainstream, millions watched Lost and now Game of Thrones. No-one raises an eye at a console in the living room.
However, I think the standards are slightly different for women. I wonder if I'd be considered a geek because I have a PS3 and play BF3 and TF2 whereas an equivalent male wouldn't because it's considered more 'normal'. Don't know, not bothered tbh. Certainly sometimes at work, tolerant eyes are rolled when the 'boys' start to discuss gaming (which annoys me, it's so dismissive) but when I join in, there is surprise. From the eye-rollers by the way, not the gamers.
I suspect though, tabletop roleplaying is still considered pretty geeky whether you're male or female. Same going to LANS or taking part in e-sports or going to conventions. That basically marks you out as having a more than casual interest = geek, I suppose.
The definition of geek/nerd seems to vary. I'm not bothered about being called either or neither. People can choose to define me and my hobbies how they like.