Well, after 2 sessions of dealing with other things I finally built the courage up and told my therapist "I think I'm Transgender. She didn't seem very shocked, and congratulated me on being brave enough to share it with her.
She was very supportive and caring with her words, reminding me that it's not a problem, and that it doesn't make me flawed, or a bad person. Hearing this from her was very reassuring and put me at ease. When I told her I didn't think transition was possible, she gave me every reason to think it is and that it might be the right choice.
Regardless of all the details of the session and whatever happens in the future, I feel so liberated that I have finally told someone who the real me is. It's almost like now the valve is open and the water is flowing and I want to tell everyone, but I know that probably isn't the best idea until I have done some more sessions to figure things out and what exactly this all means.
Thank you to anyone who commented on this post and everyone who has ever posted here. Knowing we are not alone, not freaks, and as one person put it, "don't eat babies" has helped me finally embrace my real me.
Amelia