From the Navarre commentary:
4. For the meaning of the words of this verse see the section on our Lady in the
Introduction above (pp. 35ff). It should also be said that the Gospel account of
this dialogue between Jesus and his Mother does not give us his gestures, tone
of voice etc.: to us, for example, his answer sounds harsh, as if he were saying,
This is no concern of ours. But that was not the case.
Woman is a respectful title, rather like lady or madam; it is a formal way of
speaking. On the Cross Jesus will use the same word with great affection and
veneration (Jn 19:26).
[The sentence rendered What have you to do with me? (RSV) is the subject
of a note in RSVCE which says while this expression always implies a diver-
gence of view, the precise meaning is to be determined by the context, which
here shows that it is not an unqualified rebuttal, still less a rebuke. The Navarre
Spanish is the equivalent of What has it to do with you and me?] The sentence
What has it to do with you and me? is an Oriental way of speaking which can
have different nuances. Jesus reply seems to indicate that although in principle
it was not part of Gods plan for him to use his power to solve the problem the
wedding feast had run into, our Ladys request moves him to do precisely that.
Also, one could surmise that Gods plan envisaged that Jesus should work the
miracle at his Mothers request. In any event, God willed that the Revelation of
the New Testament should include this important teaching: so influential is our
Ladys intercession that God will listen to all petitions made through her; which
is why Christian piety, with theological accuracy, has called our Lady suppli-
cant omnipotence.
So when our Lord Jesus was talking to the woman who committed adultery and called her "Woman", we are to assume He is giving her a respectful title? I'm not saying that He doesn't. I'm simply saying our Lord Jesus is giving her the same title as Mary.
“In any event, God willed that the Revelation of
the New Testament should include this important teaching: so influential is our
Ladys intercession that God will listen to all petitions made through her; which
is why Christian piety, with theological accuracy, has called our Lady suppli-
cant omnipotence.
THAT is where your quote veered off the road and into a ditch.