I suppose I was a little too vague in my last comment. Allow me to clarify on that point.

I usually make a distinction between gender dysphoria, and "sex dysphoria". Gender dysphoria is a description of distress someone experiences due to a conflict of their gender identity and their sex, while "sex dysphoria" is the distress someone experiences due to a conflict with their "internal" (for lack of better word) sex and their birth sex.

Gender dysphoria is a product of living in a gendered society (socialized behavior), and we would no longer have individuals with gender dysphoria in a genderless society. I do believe that sex dysphoric individuals would still exist in a genderless society, since it is strictly a sex-based distress being experienced.

In essence, sex dysphoric symptoms are innate, while gender dysphoric symptoms are a product of being socialized in a gendered society.

The act of having a gender identity that is not typically associated with your sex (i.e. a male identifying as a woman), makes you are transgender (alleviating gender dysphoric symptoms). So if you believe yourself to be a woman, and your birth sex is female, you would not qualify as transgender.

Meanwhile, if you pursue some form of medicalized treatment (i.e. a male pursuing female hormone replacement therapy), then you are transsexual (alleviating sex dysphoric symptoms). Generally, transsexual individuals also tend to be transgender, such as a male identifying as a woman, but also pursuing hormone therapy or surgery.