Kay

“Adam identifying the woman’s source and identifying her as “woman” when God brought her to Adam was not an act of authority. It was an act of willing acceptance and happy fulfillment. “At last” Adam said, this one was just right for him.”

Yes, God is the woman’s source and Creator, just as He is the man’s. God is sovereign over all things. Yes, since when does being able to identify the things God created put us in authority over them? It was not the naming of things that imparted authority.
Clearly God gave both the man and the woman the mandate:
“So God created man in his own image,
in the image of God he created him;
male and female he created THEM.
God blessed them and said to THEM, “Be fruitful and increase in number; fill the earth and subdue it. Rule over the fish of the sea and the birds of the air and over every living creature that moves on the ground.”

From where comes the whole idea that “because I can identify something and give it word name identifier, therefore I now have authority over it”??