If you look at the Hebrew in Genesis 16 you will note that the angel says "I will multiply thy seed exceedingly, that it shall not be numbered for multitude." Hagar worships the angel and calls him the name of the Lord, yud-hay-vav-hay. Effectively, she names the messenger as G_d Himself and the angel does not correct her as the angel of Revelation 22:8-9 did with John. There is only one angel who would fail to do that: Lucifer himself.
13 She gave this name to the Lord who spoke to her: “You are the God who sees me,” for she said, “I have now seen[c] the One who sees me.” 14 That is why the well was called Beer Lahai Roi[d]; it is still there, between Kadesh and Bered.
Interesting, could you explain? Where did you find the origin of the name of God she uses? Above is the NIV version of the Genesis 16 verses you spoke of.
Is this the same angel that inspired mohammad with revelations?
Or, there is the alternative explanation that the “Angel of the Lord” in the OT was just a form that Christ appeared in before his earthly incarnation, hence there was no need for correction.