“But when food was set before him to eat, he said, “I will not eat until I have told my business.” And he said, “Speak on.”” – Gen. 24:33
Abraham’s servant has just traveled quite a distance, and is likely tired and hungry. But, rather than readily accept the food offered, he states that the business at hand is more important. The issue of whether or not Rebekah would be allowed to leave this place and become the wife of Isaac – was regarded more highly than his own physical sustenance. Clarke’s Commentary says it quite aptly: “Here is a servant who had his master’s interest more at heart than his own.”
In the Gospel of John, the words of the Messiah make a markedly similar statement after His disciples were urging Him to eat:
“My food is to do the will of Him who sent Me and to accomplish His work.” (John 4:34)
If Laban and family would have refused, would the servant have eaten? Would he have accepted any hospitality? It was quite a long journey back and they may not have been able to even carry enough provisions for the return, we simply do not know.