Creamy Chicken and Rice Soup

INGREDIENTS

2 tbsp

olive oil, divided

salt and fresh black pepper

boneless chicken breasts (about 1 pound)

large onion, diced

big carrot, diced

3 cloves

garlic, minced

1/2 tsp

dried thyme

1 tbsp

butter

1 tbsp

all-purpose flour

1 cup

milk

4 cups

chicken broth

1 cup

water, plus more if needed

3/4 cup

uncooked white rice

5 cups

broccoli florets (preferably fresh, thawed if frozen)

1 cup

shredded sharp white cheddar cheese

1/4 cup

grated Parmesan cheese, plus more for serving

1 tbsp

fresh chopped parsley