I think it is a very fitting analogy.
OP, I spent mny years in the woman’s ordination movement. I still know women whom I love and respect that still are.
I left the movement for precisely the reason Ora states here.
A priest friend, who knew of my involvement, but still ministered to me, asked me a very pointed question, to which I came to terms with the reality.
The nature of the ministerial priesthood is that the priest, at certain times, actually becomes the “person of Christ”. Well, as much as I can be “Christ-like” and try to live as He did, I cannot, ever be Christ, as I am not a man.
This was not an easy realization. It was panful. I wanted to say I was being too literal, and that was not the “spirit” of the law.
I so wanted to convince myself that I was wrong, but the harder I tried, the more I realized I could not. Men and women are different. That is how God designed us. And if God had to become human for us, he could have come as a woman, and we might be having the same conversation in reverse.

But He didn’t . He came as a man, so to be “in persona Christi”, there is a minimum requirement of being the male of the species.
Like I said, it was not an easy time for me, but I look back now and think, WOW! There but for the grace of God…
I learned to do His will and not my own.