This is the kind of discussion I was hoping to foster!
Regarding The One Power being gendered, even if we decide that, actually, The One Power is not essentially gendered, it's just in a 'gendered mood right now', or what have you, there is still all of the social aspects. The vast majority of men who channel (men born with male bodies and souls) are channeling Saidin, and their they describe their experience very specifically; they need to seize it. If a trans man goes to channel, and finds that, actually, in order to channel, he has to do all of the things that the women talk about needing to do, like surrendering, when channeling saidar, then I imagine that could make him dysphoric.
It is like how, despite skirts and long hair not being inherently feminine, they're still socialized as feminine things in western culture, so most trans men feel dysphoric about wearing a dress.
I also feel that it also opens the door for fanfiction to explore how channelers could bridge that gap. Okay, say a trans man does want to channel, but he doesn't want to channel saidar. At the end of the third age, it was discovered how to heal a severed soul. Could they find a way to 'surgically' connect such a soul to the other power? Particularly since, it seems those with a connection to saidin or saidar are able to see the power itself, not to mention interacting with it directly, such as with The Cleansing of Saidin.
It also presents opportunities for other kinds of gender diversity to be explored. For example, I think it would have been interesting to explore a turning where, instead of Nynaeve being forced to learn how to embrace saidar on her own, she instead learned how to work with a power that kind of worked better with her personality, and learned how to seize saidin. That isn't to say that Nynaeve would have been a trans man in such a turning, or even a trans woman. She could just be an otherwise cis woman who channels saidin. (This touches on a topic I care a lot about, that being genital dysphoria in cis gender people, such as an otherwise cis woman who wants a penis).
But one big aspect I want to talk about is how it reflects my experience as a trans woman. You see, much of my dysphoria is actually neurological. I can literally tell that my brain is functioning in a manner that feels wrong. You see, when I was in high school, I had a strange jealousy of all of the depressed girls I knew, and I never even realized it. I later realized that, it's because I was depressed, but it felt wrong, because my depression wasn't manifesting in my brain the same way that it was for them.
That is to say, while I don't think that I would feel dysphoric about channeling saidin, I think that I could relate to somebody who does feel dysphoric about channeling saidin, a kind of "I don't know what it feels like to channel saidar, but I know this power feels wrong." kind of thing.