Maybe this will help us better understand.

transsexual = a person who strongly identifies with the opposite sex and may seek to live as a member of this sex especially by undergoing surgery and hormone therapy to obtain the necessary physical appearance (as by changing the external sex organs)

transgender = having personal characteristics (as transsexuality or transvestism) that transcend traditional gender boundaries and corresponding sexual norms

Surely no one here, intentionally meant to offend anyone.