Caught up.
Assimilate: If you're being honest, there's stages as Cindy has said.
1. Realizing your born the wrong gender (male a female body/female in a male body)
2. Realizing this isn't "just a phase" (some folks may not actually think they're female in a male body but have female mannerisms that make them think that temporarily)
3. If they are 100% on board with it, they may start to "transition." This means using hormones to stop Testosterone or Estrogen production in themselves and gain an Adams Apple/etc. of the opposite sex they're trying to choose (breasts in male to female, which yes: Some of it may be fat/moobs but that's a whole 'nother discussion)
4. For some, this is as far as they can get as sexual-reassignment-surgery is expensive, especially in the US.
Which brings up 4.a.: Using Bruce Jenner/Caitlin Jenner as an example of this as going "does she still have a dick!?" is being obtuse or just a pure moron, because 1) Bruce/Cate publicly announced they were undergoing sexual-reassignment-surgery and 2) did so and thereby came out with that Vanity Fair "call me Caitlin" cover.
4.b. Since this is as far as most folks get, they consider themselves "transitioned" because they see elements of their mental gender (male->female/female->male) in their appearance now.
4.c. They may/may not still have sexual organs that work depending on the amount of hormones they are/were on. If they still have a working dick as a "female" they generally will announce it to their sexual/romantic partners once they are comfortable with them and see if they are able to "get over that hurdle" to having a relationship. This is where that "man is having a baby" sort of articles have appeared over the past like 2-4 years.
5. IF they have the money and sexual-resassignment-surgery: They are "fully" transitioned.
AKA: Between 4-5 (SRS or not but having been on hormones) these people are still considered transsexual because they were transitioning. Doesn't matter if they still have "working sexual organs" they are considered trans because of their process of transitioning.
Though really, stage 3 (when they start to take the hormones) is where I'd personally hard-line the definition as cross-dressing or "just a phase" means they aren't transsexual in the definition of the word.