My first inclination in instances such as this is to take a deep breath, don't panic and understand the real threats and then address them through resistance, protest, political action etc. There is no doubt that a narrow segment of our political spectrum is using as a fodder for a continued cultural war and then hope to benefit from the political turmoil. This then translates into increased danger for many of us and in some ways a spotlight of bigotry results as those who would hate us see some "official" endorsement to do so. This allows said politicians to distract the nation from efforts to further fill their pockets.
As has been stated here though, we do have at least a partially functioning democracy remaining. State governments and state laws act as a buffer. (there are 13 states that specifically protect gender identity) There is a court system that would no doubt challenge any executive orders and if they went the legislation route, it would take a long time to move through the houses of Congress and then the laws still face legal challenges. The executive order route just attempts to do things that bypass legislation and as we have seen from the transgender military ban attempts those meet with a lot of contempt within the bureaucracy that has to implement it.
Get out and vote, organize politically, be visible and productive members of society, face danger if you must. Have a plan and work it.
I'm one that has not changed her federal ID for no really good reason, other than I was waiting for post-divorce and that is dragging itself out. I accept that it may have been the wrong choice. It's a fact that a narrow segment of our society would love to hate us in this way and are encouraging their politicians on these hate efforts. They are narrow though. and the chances that the rest of society is going to turn back on us because of it, while not impossible are unlikely.
Finally, it occurred to me that this would be a good reason to be granted asylum in another country like Canada, UK, Scandinavian countries etc. if things ever do become much more painful. What better reason than your government refusing to recognize you exist and protect your rights?