“He made the camels kneel down outside the city by the well of water at evening time, the time when women go out to draw water.” Gen. 24:11
It is quite obvious from a reading of Genesis 24 that Bethuel, Laban and Rebekah are doing just fine financially. They welcome several strangers (Abraham’s servant was not alone) and provide food and lodging for them all, as well as their ten camels.
So why is Rebekah out drawing water herself? Surely the family has servants! We see later that she has a nurse (probably her wet nurse when young, who became her servant.) I believe the answer is simply this: she is humble. This is precisely what makes her the right material for Isaac’s bride. Malbim tells us that the servant looked for a modest girl, who would draw water herself even if she had servant.