You have such a fundamental misunderstanding of some very basic concepts of justice
This statement, followed by an analogy that creates a dotted line between the original poster and racism, and is a poor analogy to boot. Not that most analogies used in the wild are much more than poor attempts to link a statement to racism, sexism, nazis, psycopaths or something similarly "evil" ... versus truly clarifying a situation.
Should the use of my real name truly burden me and psychologically harm me, I have a recourse that for hundreds of years has been taken by women upon marriage ... I change my name. Rather unlike a physical trait. I would argue that my name is not an innate trait ... it's something that can and every day for someone in the world, does, change. Should the harm I suffer by using it day in and day out be so great, the difficulties caused by changing it should pale in comparison.
Now should I not want to change it, but still be allowed to use any name I can think of any day of the week, the fact that I identify as transgender doesn't suddenly give me more rights than someone who is not to do so. Who is anyone to say that one reason is okay and another is not? And how do we go about deciding who it is okay to be unfair to and who not? These questions usually end up falling on politicians who will ram into place something that will help them get/stay elected.