A method of removing heat from an electrical machine located in a gas turbine engine at least partially inward of a core airflow path in a radial direction, the electrical machine including an outer generator stator and an inner generator rotor is provided. The method includes directing cooling airflow radially through an airflow passageway to an enclosure at least partially defined by a thermal shield at least partially around the electrical machine. The cooling airflow is directed radially inward past the outer generator stator and toward the inner generator rotor using a cooling manifold thereby removing heat from the generator rotor.