Season chicken with salt and pepper and grill (I used my indoor grill pan). Slice into thin strips.
Bring water to a boil and add pasta. While pasta is cooking, make the sauce. Melt butter in saucepan, heat to boiling, stirring constantly. Simmer 1 minute being careful not to let the butter burn! Slowly add cream and heat to a low boil to reduce, stirring constantly. Boil for 3 minutes.
Reduce heat, add gorgonzola, parmesan, and nutmeg. Stir until melted. Serve sauce over noodles and top with chicken.