I work as a Mental health Social Worker and I see diverse people everyday. However as I am preparing to transition I have been testing the water so to speak by leaving LGBTQ pamphlets around the building, put up a few posters and no one has said a bad word. Indeed I am hoping when I do take my first steps towards transition that the open mindedness remains.
In terms of outing yourself that is a personal choice and one only you can make. But honestly you are a woman now and what business is it of theirs.