What does Genesis 24:48 mean?
Abraham's servant describes his joy at discovering that the woman God led him to for Isaac was, in fact, the granddaughter of Abraham's own brother. His joy is expressed in his response: He immediately worshiped and blessed the Lord who led him on a straight path to Rebekah (Genesis 24:3–4; 12–19).The servant was not at all shy about worshiping the Lord in front of Rebekah or describing his worship of God to her family. In fact, the Lord was the central character in the servant's story, acting to bring about the best possible result, at least from the servant's perspective.
It's unclear what Bethuel, Laban, and Rebekah thought about this God of Abraham. They lived in a part of the world known for its worship of the moon. The worship of various gods was built into the culture of the day. Did they know of Abraham's Lord specifically or simply accept the idea of Him as one of many possible unknown gods in the world? How much had Abraham told them about his visit from the Lord before he moved away? We just don't know.