Welcome to NukeWorker. Thanks for giving consideration to serving. Sadly, there are fewer slots for women to be nukes because a large percentage (not as large as it used to be) of nukes go to subs and there are no more nuclear cruisers in the fleet. But, there are still many carriers out there where you can serve. This was not always the case. When I graduated the nuke pipeline, my class wa the last to have women for nearly a decade because women weren't allowed on any combatant ships. The existing population of women nukes had taken up so many shore and sub-tender billets that rotation to shore duty for men was almost impossible without re-enlisting. This actually hurt retention. Though many men did ship over to get shore duty, many did 6 and out because they faced a prospect of 5 years at sea for every 2 on shore.
I guess I'm giving you this history lesson in order to place in perspective how much things have improved for women nukes. That is, if you can call going to sea on an aircraft carrier an improvement. I was a submariner, and I don't think I could have stood life on one of those things.
Keep bugging that recruiter. Just don't sign any contract that does not contain what you want it to contain. Many a sailor has signed for less than they were expecting- based on the recruiter's assurances that "you can sign now, and get your nuke papers later" or something to that effect. It's a bait and switch tactic that many recruiters are not above using. It might be hard to wait, but the wait will be justified if you get the contract that you want.