Don Johnson

The creation narratives do not tell us everything we might wish to know about creation, that is, from our perspective there are gaps in the stories.  How we fill in these gaps tells us more about ourselves than about the narratives.  It is quite amazing how a little filling in here and a little more filling in there will result in distortion, as it cascades.  It is so easy to say that God did X for Y, when the text just says God did X, etc.
On what the woman said God said, besides being a liar or stating the truth, she could just be mistaken, to be a liar you need to say something that you do not believe to be true.

To say that Gen says that the man taught the woman is simply not in the text, it is possible, but is far from sure.  When one is not sure, then the right answer is that one is not sure, and not to pretend being sure.

The key question is why would God be so vague about authority if this is supposedly so essential?  And as you point out, how does the man even know if he is in sin when he uses it?