Heat oil in a nonstick pan. Ass chicken and cook 6 to 8 minutes , until lightly browned. Add garlic and thyme and cook for 30 seconds more. Remove chicken from pan and keep warm.
Add broccoli to pan and saute for 30 seconds. Add the hot water and cover. Cook about 4 minutes, until broccoli is slightly soft. Bring a large pot of salt water to a boil. Add pasta and cook ccording to pacjage directions.
Add chicken to broccoli and remove pan from heat. When pasta is done, drain, ad ass to pan. Stir together and sprinkle with cheese. Season with salt and pepper before serving.