Alrighty then...
About being androgyne... since androgyne is neither a legally-accepted category or a socially accepted one, how should we act?
Is it ethical to do the practical thing and go with biogender, or should we try to demand acceptance as we perceive ourselves to be?
I mean, transpeople are still on the cutting edge of acceptance these days, but people who go beyond binaries...
People really LIKE to think in binaries, ever notice that???
This isn't academic to me.  I'd like to get an unabashedly male haircut-but in my bible-belt state, In my conservative profession, I don't think I'd get another job, and I really want a better job than my current one.
But if my look screams DIESEL DYKE!!! no, I'll just never get the callback, regardless that I'm probably better qualified than 90% of their applicants.
Once I get the masters and start being a therapist? hey, lots more leeway...but not yet.

Plus that...I believe I want people to be made aware of the idea that there are androgyne people, and that androgynes have a right to not fit in their little pink and blue boxes, thank you. Even if this ends up just being some sort of phase for me, I think there's nothing wrong with refusing to commit to one gender.  One's gender is one's own business.

Everyone's appearance, especially as regards gender performance, is a result of an internal negotiation between that person's own preferences and societal standards and expectations. The results of that negotiation are in constant flux, situationally variable, and ethically entirely neutral.

There's nothing that says you have to maintain a consistent gender presentation in all situations. You could go conventionally-female (or, for that matter, conventionally-male) in situations where appearance expectations are rigid and binary, like in some work environments. On your own time, you could be as androgynous as you want, even when interacting with the people you work with - that might cover your desire to educate.

There are ways to solve things like the haircut issue; a conventionally-male haircut can be covered with a wig at work, for instance. Some male haircuts have enough length that they can be visibly styled as women's cuts. Clip-in extensions are always an option unless you go for a short buzz cut. Some professional female clothing styles could work with headwraps or headscarves. Or you could just go full-male presentation, if you can pull it off.