Absolutely you should be allowed to choose whatever gender you want when doing employment applications under the current regime

https://exileinhappyvalley.blogspot.com/2023/10/the-war-on-trans-is-war-on-liberty.html

"The mainstream trans movement often pushes back against the notion of gender as a choice because it belittles the fact that most of us didn't choose this, but I think this is a mistake and it's one that betrays what defines us as a people. Gender isn't a choice, but shouldn't it be? Shouldn't everything be?"