dysphoria is certainly a mental illness, transitioning is merely one possible treatment for it (though, pushed as one of the first rather than as one of the last options, which I personally find concerning.)
Being gay is not generally recognised as mental illness, although it has been in the past. Being trans is less well defined (historically even being gay was not well defined, or defined the same way).
dysphoria is certainly a mental illness, transitioning is merely one possible treatment for it (though, pushed as one of the first rather than as one of the last options, which I personally find concerning.)
Body dysphoria is a recognised mental illness.
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Being gay is not generally recognised as mental illness, although it has been in the past. Being trans is less well defined (historically even being gay was not well defined, or defined the same way).