That being taken care of, I assume it will be alright if an agnostic throws in his 2 cents.
Looking at nine Christian commentaries, only three take up the issue, which seems a bit odd, but in any case,
"She" represents some future city
Ellicott's Commentary for English Readers
She will be a city marked by a righteousness which will be the gift of Jehovah; He will inscribe that name on her banners, and. grave it on her portals. It is obvious that this throws light on the meaning of the title as applied to the King.
"She" represents Jerusalem
Jamieson-Fausset-Brown Bible Commentary
Jerusalem—In Jer 23:6, instead of this, it is "Israel." "The name" in the Hebrew has here to be supplied from that passage; and for "he" (Messiah, the antitypical "Israel"), the antecedent there (Isa 49:3), we have "she" here, that is, Jerusalem.
"She" represents Jerusalem
Keil and Delitzsch Biblical Commentary on the Old Testament
In consequence of the renovation of Israel externally and internally, Jerusalem will become to the Lord a name of delight, i.e., a name which affords joy, delight. שׁם here signifies, not fame, but a name. But the name, as always in Scripture, is the expression of the essential nature; the meaning therefore is, "she will develope into a city over which men will rejoice, whenever her name is mentioned."
So whereas "Him" in Jeremiah 23:6 refers to "the Lord," the "she" in Jeremiah 33:16 refers to a city.
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