“Or was the Holy Spirit wrong in how He referred to Mary?”
In scripture, the Holy Spirit inspired Elizabeth to say that Mary is the mother of the Lord (Luke 1:43).
Jesus is the Lord, and the Lord is God. Why do you keep avoiding that fact?
Was the Holy Spirit wrong in what He called Mary?
You keep avoiding THAT question.
Was Scripture God breathed and Holy Spirit inspired or not?
The importance is in the Name Jesus Christ. Jesus “God Saves” Christ (Messiah). Son of God; Son of Man; Immanuel “God with us”. Peter’s proclamation was “Son of the Living God.”
Lord or Master (same according to the lexicon) in the NT is a title; a relationship of Lord to His servants.
When the OT was translated to Greek, the LXX, the Jews used LORD (kyrios) for the Hebrew tetragrammaton.
So the question we must ask is if Lord in the NT is tetragrammaton (YHWH) or Lord meaning Master. So was Elizabeth proclaiming Mary as the “mother of my YHWH?” That would be some proclamation given it was not until Peter we see the proclamation “You are the Son of The Living God.”
Something to look at Vlad as in your use of LORD here with Elizabeth meaning YHWH makes Elizabeth the most important disciple in the Gospels.