Here in my country is a rule that when you wish to change your marker to X, you must also change your name into a name who is not conforming with the binair identity. I have changed a view weeks a go my marker from F ( female ) to X Non binair, and changed my binair recognized name into a non-binair recognized name i'm official changed from my birth given name Andrea into Bobcat-Lynx.
I struggle with this too. Tried out Dylan as something that appears to fit both and I like it so far. Still not sure if I want to go more feminine but that's where I'm at with my identity too so taking my time.