Nice to see there are a few retired military here. Fwoodhull, you would be wise to take the advice they've given.
You do realize when you go to a doctor, where it is they put their stethoscope? I've gotten a lot of looks and questions from my civilian docs, and a military doc will only be more stringent. They are duty bound to look after your health. Give them a reason, and they'll have you in the lab for blood tests in no time. It's free for them, and you, and the lab is usually just down the hall. Do you know that they can prescribe for you to get a mammogram, whether you like it or not? Just give them a reason! I found that little fact out when my wife had her mammogram on-post a few years ago. I jokingly mentioned to the tech that I ought to get my doc to order one for me, and she was not the least surprised. she went on to say they do at least 15 male soldiers a month! Like I said, just give them a reason! Also, whenever and for whatever reason you ever need a chest X-ray, CT scan, etc., they will make you remove your upper clothing. ready for that? Unless you're in a privileged unit, you're going to take a PT test twice a year. In a t-shirt and shorts. You're not going to hide any growth in a sweaty t-shirt. Even if the chain-of-command doesn't notice, your buddies will, and I can imagine the comments.
Then there's the matter of family. you do know that after 10 years of marriage, your wife is entitled to 1/2 of your retirement? And that the military will gladly ensure that she gets it? Along with child support for 4 kids, your financial future would be a bit cloudy. You're already giving her reason to consider that. It would not be news for me to tell you that if she likes dick that much, and you can no longer supply it, then she will find someone who will. Unless that arrangement suits you?
I would not expect the military to begin being accepting of trans-anything for some time. In the meantime, you need to be realistic, and keep below the radar. And for someone with the responsibility for a wife and 4 kids, you need to lose the selfishness.
I know I've been blunt, but I'm nothing if not realistic. I got through it, but with your current approach, I have doubts. Patti