The OP might fall under the trans umbrella, but may not be transsexual. It is becoming more common for people to pursue different sports of gender surgery, and for different reasons than just being Gender Incongruent. There may be psychological reasons for someone wishing to change genitals or simply be rid of the genitals they have. This is where an experienced gender psychologist fits in. They can test to see if someone has a psychological cause for their discomfort, and it may be better treated psychologically (this would entail finding the driver for discomfort, possibly a trauma or other psychological condition, and treating to minimise the impact). If they fail to find a psychological cause, exploring transition may be indicated.
I believe we are still a long way from fully understanding these issues, and that there are many causes to yet be identified. The OP did not indicate they were uncomfortable with their gender, but just their genitals. At the time this thread was posted, to get SRS, the standards required a real life test in which the OP would have been forced to demonstrate that they could function as a woman. Thankfully, this test is losing credibility as more knowledge is gained.
I know I had life long Gender Dysphoria, yet I was not unhappy with my assigned sex. I enjoyed my life at a basic level, but I did have dysphoria triggers and genitals were one of the main triggers. I decided many times in my life that transition was not right for me, but when my dysphoria was destroying my health, it was obvious I needed to remove triggers. To do this I had to transition, and my surgeon did require a year of living as a woman. Post SRS, my dysphoria was almost gone, and I realised that if I could have just have had the surgery, I might have been able to continue my male life. I would still have some dysphoria, but I wouldn't have had to put my loved ones through me going through social and medical transition.
The traditional route was not right for me, and I suspect many others, and maybe, in years to come, we will understand the broad range of gender issues better and find more appropriate solutions.
Hugs,
Allie