Coming out is a ritual initiated by the petitioner, a formal act of asking for a new social convention regarding your identity... be it on the axis of sexuality or the axis of gender.
In a professional environment especially, it's rude to ask someone else if they're coming out, as this is a personal matter and not a professional one (unless one's presentation is integral to the work, like if you're in sales or something?) though of course not all work environments are professional!
The point at which you're ready to ask for a name change at HR is likely a good time to come out. Until then, maybe finish electrolysis and get your facial surgery if that's in the cards for you?