UPDATE
Thank you everyone for you kind words and support. Now for the update.
Last night I broke down crying again and went into our bedroom so my children wouldn't see me in that kind of condition. My wifey came to the room and asked "Are you coming out (of the bedroom)?" This was her saying "I understand you're upset, and that's okay. You don't need to hide and I am here for you!"
After putting the kids to bed, and me taking the dog for a walk (we live in the boreal forest of Canada) so I could get my heart rate up to relieve all the emotions I am feeling, I sat down beside my wife on the couch. She immediately laughed and showed me a funny Facebook video her brother sent her. I have a Facebook account but I don't use it so I always find it intriguing the kinds of stuff people post on there these days. We continued to look at a couple more funny posts and videos. After that we decided to watch a movie on Netflix. Not once did she mention anything about gender dysphoria. I guess she is being consistent in continuing on with the status quo until I come to her with more information. During our time on the couch she continued to complain about the every day mundane things like "There's sooooo much laundry to do!" Personally, I found this a little worrying. Is she choosing to ignore this and just hopes it goes away? Is this her way of coping with it? Maybe I should just take this at face value.
Telling her was the right thing to do, I know this. I am also wanting her to come to one of my therapy sessions.
The idea of finding something to control the symptoms is intriguing to me. I have never looked at it that way before. Also, hearing that just because you have gender dysphoria doesn't mean that you need to start HRT.
My wife asked me what my options are, this is what I told her.
1) Start HRT to transition to a female.
2) Start HRT and still present as a man.
3) Do nothing at all and just continue on with how things are. (I feel like this one is a non-starter for me, and it makes me sad, angry, depressed. Am I just giving up if I go with this option?).
And to the first two she said "I cannot be there for you if you go for the first two"

She then gave me the option of "Why don't you just cross dress?" Could this be a way of controlling my symptoms? I really don't know.
I know that she needs to live her own life, and I have no say or influence on how she does that. If she wants to leave me that is her choice. For me, no one in my family of origin has gone through the process of their marriage possibly ending. During dinner we put on a X-mas show for the kids. It was your typical family moment that is full of warm fuzzies and feel good happy emotions. I don't want to loose that, and the possibility of that happening made me sad and is still making me sad.
Now that the cat is out of the bag I can't help but think that perhaps the better choice is to just live with this and do nothing. I feel like doing this will give my kids a better chance at having a family that stays together. With the two parents that are genetically theirs and live with them. However, even thinking that fills me with anxiety. If I do this it would be that I wouldn't do any cross dressing, I wouldn't discuss anything to do with my gender, I wouldn't do any exploring.
I wish I could go back in time and stop myself from telling her.