1 cup grated parmesan cheese
1 tsp. chopped thyme
1 1/2 tsp. dijon mustard
1/4 cup half-and-half
2/3 cup non-fat or low-fat milk
1 cup reduced-sodium chicken broth
3 cloves garlic, minced
2 tsp. extra-virgin olive oil, divided
1/4 tsp. ground pepper
1/4 tsp. coarse kosher salt
1/2 cup all-purpose flour
4 cups chopped raw broccoli
2 1/2 cups uncooked pasta, preferably whole-wheat
1 pound boneless, skinless chicken breasts