The Veil
Perhaps it was the custom for a modest, upright woman to remain veiled in the presence of her future husband.
In any case, this use of a veil might be a picture of the church's condition of the intended bride of Christ. As Rebekah knew Isaac from the faithful servant's accounts, we know Jesus through the Bible and through the testimony of the Holy Spirit, but the day is coming when the veil will be removed, and our view of Him will be unobstructed. We love him now, but how much deeper and more joyous our love will be when we see him face to face.
In any case, this use of a veil might be a picture of the church's condition of the intended bride of Christ. As Rebekah knew Isaac from the faithful servant's accounts, we know Jesus through the Bible and through the testimony of the Holy Spirit, but the day is coming when the veil will be removed, and our view of Him will be unobstructed. We love him now, but how much deeper and more joyous our love will be when we see him face to face.