Meanwhile, heat the remaining tablespoon of butter in a saucepan and add the flour, stirring rapidly with a wire whisk. Add the broth and milk, stirring rapidly with the whisk. Add the cream and cook, stirring often, about 5 minutes. Add the cheese and stir until melted.
04Add the ham slices to the skillet in which the chicken pieces cooked, and cook briefly on both sides just to heat through. Transfer the slices to a heated serving dish, and cover each slice with a piece of chicken breast.05Add the onion to the skillet, and cook, stirring, until wilted. Add the wine, and stir to dissolve the brown particles that cling to the bottom and sides of the skillet. Stir in the cheese sauce.06Place a sieve over a small saucepan, and strain the sauce, stirring and pushing down with a plastic spatula to press through as much of it as possible. There should be about 11/3 cups of sauce.07Pour the sauce over the chicken pieces and serve hot.