From my own experience, I'd say this is the time to listen to your wife. As Pica Pica wrote, she probably sensed you have a feminine side; it may have been part of your attraction. Your discussion is as scary, disconcerting, and troublesome to her as to you. She may want more information on transgender and androgynes, or, if she is like my wife, she may be looking for a lot of reassurance. My wife wants to know, through actions even more than words, that I love her, that I find her attractive, and that I want to spend time with her. She wants to know that she can continue to trust me. She, to some extent, views this forum and my new friends via internet as rivals.
I have a tendency to become defensive when she is disturbed by something I do or say (or don't do). That doesn't help. Saying I am wired weirdly, which may help explain me to myself, is not an excuse or explanation to her. Nor do repeated discussions of androgyny interest her. She wants to know this is not and will not become an obsession. She wants to reassurance that our life together and our shared interests remain at center stage.
Of course, I don't know your wife, and only know about you what you have shared here. You will have to feel your way. I still like the guideline UPS teaches about stretching exercises, that I have since applied to androgyny: Stretch until you feel pressure, but stop before you cause pain.
Best wishes,
S