To introduce someone to the idea (and their gender has no influence on this I can think of), just bring up the idea. Something like: "You ever thought about training in martial arts?" Or something about a competition you're going to see, or a MA movie that you like.It's not for you to decide or assume that the fuel isn't there. I am asking for suggestions on how one might go about introducing the idea. I am not forcing anyone, and if she decides it's not for her, I would leave it at that. You are quite literally saying that I shouldn't bother trying.
"You can try and get them interested, and if they are, they'll start"
That's really great advice! Any suggestions or tips on how to go about doing that?
But that's just introducing the idea. I doubt she lives in a world where the idea of MA hasn't popped up from time to time.