>> “in Luke 1:43 she is called “the mother of my Lord”, which is the biblical word for God throughout the Bible.” <<
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No, that is not correct.
The convention in English Bibles is that when the reference is to YHVH, then it is rendered “LORD,” but Lord is not a reference to God, but simply equivalent to “master” or “leader.”
Luke's Gospel is written in Greek, where no similar distinction can be made.
η μητηρ του κυριου(Luke 1:43)
Searching for κυριος in the Septuagint yields:
και εφυτευσεν κυριος ο θεος παραδεισον (Genesis 2:8), and in that vein a couple of hundred references in Genesis alone.
And how do you imagine Elizabeth had her niece's baby for a "leader"?