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When Jesus reprimands Mary, calling her "woman" (gunai) rather than "mother" (meter), He implies that He is not conforming to her authority but acting under His Heavenly Father's authority. This statement establishes that Mary, even as His physical mother, has no authority over Jesus, destroying any belief that urges us to pray to Mary to intercede for us. On the two occasions in which Mary is seen intruding in His ministry—here and in Matthew 12:46-50—Jesus verbally moves her aside. His rebuke censures her assumption of authority she does not have. She also seems to lack the humility with which we must go to God with our requests.
Since the Father had already predetermined Jesus' agenda, Mary's request is inappropriate because she tries to determine what He should do. The Father would not have let Mary change His plan, so He had probably already inspired Christ to perform this miracle. Obviously, Jesus does not deny Mary a solution, but He does mildly rebuke her for her attitude toward Him and His purpose.
Martin G. Collins
The Miracles of Jesus Christ: Water Into Wine (Part One)