Genesis 24:57,58

‘And they said, “We will call the young woman and ask what she has to say.” And they called Rebekah and said to her, “Will you go with this man?” And she said, “I will go”.'

The first acceptance of the proposal was by Laban and Bethuel as practising and nominal heads of the family. The detailing of arrangements was dealt with by Laban and Rebekah's mother. But in the end Rebekah has a say. Accepting it at face value this means that she has final refusal, but they would only expect this if she was totally opposed to the idea. The general view would be that she should fall in line with their wishes. It would surprise no one when she agreed.