I didn’t listen to it but maybe Jesus was doing something that broke with tradition regarding who usually washes feet. I don’t know about it?
If you take the accounts to be accurate then he allowed woman to learn in the same manner as the men. He empowered a woman to be the first evangelist (the woman in the well) and these were clearly breaking traditional roles of the day.
My take on it was that he was showing God is both masculine and feminine - and traditional convention is not the same as what defines a man or a woman.
However, Jesus has been claimed to be most things to a lot of people to justify almost anything.