My wife enjoys fishing and shooting (only with the .22 so far). She wants to get her pistol permit and a pistol.
She's also hinted at wanting to hunt someday, but she has a tough time getting past the "cute" little critters.
I see the same pattern with her and shooting/hunting as she showed with eating venison. I didn't push her to eat it, but made it available. She tried it a few times and liked it, but she didn't WANT to like it. Eventually she got over what it was and just enjoyed the taste. One day, we were at my parents' house, and I dug out the pellet gun. At first, she wasn't interested in it, but once I showed her how, she tried it and enjoyed it. Then I broke out the .22, and didn't look back at the pellet gun. I want to get her shooting the 20ga to see if she'd be into skeet/trap. I don't' push it, but make it available. If she wants to do it, I'll support her. Just like eating venison.