Lets not get carried away...the idea of women fighting has only gotten more widespread in the last few years in the West.
It wasn't long ago that guys like the GOAT Fedor were declaring:
“Women shouldn’t compete in UFC/MMA because this sport is for men,” Emelianenko said through his interpreter. “There are a lot of sports where women look like women – like gymnastics, water sports, maybe some athletics."
MMA legend Fedor Emelianenko was recently interviewed by “WHOA TV” and explained why he feels women have no place in the sport of mixed-martial
www.mmanews.com
Of course they can compete, but combat sports are a primarily male activity. Its how we are wired.
There also isn't the talent pool or depth for it at this point.
I do believe however that in a few years, it will indeed happen - a fully female UFC card will take place like they have had in Japan.