Try playing the online game with her-if that is what she's truly interested in, then it may help to bring you closer together.
And about your sex life: she likes the game? try doing a role play based on the game.
DON'T HAVE AN AFFAIR! Whatever you do, do not ruin all chance of getting the relationship to work. Try to base your life around the games a little, make sure you're becoming closer this way, not by having an affair.
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