For the people who are asking about the difference between transgender/transsexual (prefacing this with I'm not trans so I'm going solely from conversations I've had with my trans friends and not actual life experience, so I could be totally wrong): from what I understand, it is actually possible to be transgender but not transsexual, or vice versa.
Example: some people have sent me questions on my blog saying stuff like, "I'm a woman, and I know I'm a woman, and I know I'm not trans because I am comfortable as a woman, but I keep feeling like my breasts are not supposed to be there and I feel the need to keep them down with sports bras because even accidentally touching them horrifies me," or, "I know I'm not trans because I feel female inside, but I cannot be comfortable thinking about my genitalia unless I think of it as a penis."
Like, it sounds a lot like dysphoria, but minus the gender part. Just the body part. Which is kind of fascinating.
Now, why that is might be for a lot of reasons (completely armchair neurology, but I'm wondering how much body mapping has to do with it), but it does call into question how gender is different from physical body.
Additionally, there was a trans female speaker who came to our school. To her, getting facial feminization surgery was more important than bottom surgery, because for her it was more how she was perceived and what pronouns were used automatically rather than her parts. So that would be I think where the divide between transgender and transsexual came in, too.
So, basically, from talking to my trans friends: most but not all transgender people are also transsexual, but there are exceptions. There are also some people define transsexual people as fully transitioned people, though it depends on what your definition of "fully transitioned" is.