"Last night my aunt told me my cousin was trans (male but wanted to be female)."- I'd like to point out that being trans is not wanting to be so, but actually being so. Just being in the wrong body. You already are, it just doesn't show. In my opinion.
Second, is it wrong to be who you are? Not if you are morally correct and morals are subjective. Define them and run with them. Don't suppress yourself. Best of luck!