Commenting just to reiterate what a lot of the other comments are saying. It's ok if AI use is a dealbreaker for you, it would be for me. I personally have a list of companies I boycott and if my partner didn't care enough to also boycott them then in my opinion we just wouldn't align enough to stay together. That being said, you can also just decide that not using AI is important to you but you will tolerate it in a partner. My main advice if that's the route you go would be to be clear that you don't personally use it and draw clear boundaries. It's ok to say for example "if you use AI for a project I'm not interested in reviewing/discussing it". Maybe that's a dealbreaker for her, I don't know, but I'd just sit down with yourself and determine 1) if it's a dealbreaker or not and 2) if it's not a dealbreaker what your boundaries about it are. You just have to be ready for whatever her decision is regarding that. If you tell her it's not a dealbreaker then you should just let it go. No one likes being nagged. But you also don't have to support it, just be clear about that and keep consistent with whatever you said you were/weren't going to do when she brings it up.

Also, I think the comments calling you controlling are out of line. You can have preferences regarding your partners behavior. It only becomes controlling in very specific conditions. If you're unclear about your desires and then retaliate against her without her knowing why that would be one way of being controlling. If you're open and honest and communicate that you have a preference and are open to her response then you're probably perfectly fine. The most important thing is clear communication and respecting each others boundaries.