You’re both going through depression and that’s rough on its own.
I love my wife’s long hair, but idk, I love her more than I do her hair.
If she buzz cuts it, or ever gets cancer and loses it, or, whatever happens really, I can’t really see my feelings for her changing over this.
I’m not judging here, I’m saying there’s probably more to this than just the hair itself?
I can’t know if it’s about other changes related to your depressions, coping with agender-ness, attraction, control, or whatever, but I think none of us here is really equipped to help you out.
Not that I don’t want to help, but you’re probably better off seeking professional help.
Now, whether that’s a solo psychologist or couples therapy, be mindful of choosing a practitioner that’s friendly to the agender and trans people.
I imagine it would suck for your wife to get shoved into a religious zealot’s trad-wife conversion therapy.
I’m a dude with long hair who’s not shy of either my masculine nor feminine side and I’d be pretty bummed if my wife told be she hated how I look and signed me up for boot camp so they buzz cut my hair.
Feels like the hair is the tip of the iceberg here.
Good luck to you both.