What does Genesis 24:59 mean?
With Rebekah's agreement to an immediate departure for her future in Canaan with Isaac, her family agreed to let her go. More specifically, they sent her away. It was truly their decision to make, and they did as she wished.Along with Rebekah, they send her nurse, likely a caregiving servant/nanny who has helped to raise Rebekah from a small child. We will learn later that the nurse's name is Deborah (Genesis 35:8). They also send along with Rebekah some of her "young women" or servant girls (Genesis 24:61).
Abraham's servant and his men are released by the family to depart as well.
Genesis 24:28–59 describes how Abraham's servant, confident he has found God's intended woman for Abraham's son, approaches Rebekah's family to ask for her hand in marriage to Isaac. After being welcomed into their household, the servant tells, in great detail, the story of how God has lead him to Rebekah and their home. Rebekah's father and brother quickly agree that they must allow this marriage to happen. After a bit of negotiation the next morning about when Rebekah will travel to Canaan, Rebekah agrees to leave that very day.
Abraham asks his most trusted servant to travel to his former homeland to find a wife for his son Isaac. Swearing to do so, the servant arrives at the city of Nahor and asks the Lord to show him which young women is appointed for Isaac. Finding Rebekah, the very granddaughter of Abraham's brother Nahor, the servant reveals the reason for his journey to her family. Her father Bethuel and brother Laban agree to allow Rebekah to travel to Canaan and marry Isaac, which she does.