Some girls like video games.
But, what about groups for these (possibly related) interests?
-non video gaming (Dungeons & Dragons, Magic, Dominion), look for a game shop in town and see if they have get-togethers
-makers (our local maker group has people who make their own video games, or fashion their own arcade boxes, etc.) Do you have a fab lab nearby?
-bowling, most offer leagues
You might also try online dating sites. Girls who like video games will probably be there.
Good luck!
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So you know who just said that:
I am female, I am married
I have two children (one AS and one NT)
I have been diagnosed with Aspergers and MERLD
I have significant chronic medical conditions as well