Greek chicken lemon soup with rice (avgolemono soupa)

Chef Cat Cora’s recipe is here:
http://www.foodnetwork.com/recipes/cat-cora/avgolemono-chicken-soup-with-egg-lemon-sauce-recipe.html  We didn’t have leeks, so we substituted with shallots, which we sauteed along with the onion before adding to the chicken stock. (July 2015)