Cajun Chicken Alfredo with Broccoli



1 pound penne or other small pasta

2 cups broccoli florets

1 pound boneless, skinless chicken breast cutlets

2-3 tablespoons Cajun seasoning (see notes)

2 tablespoons olive oil

2 tablespoons butter

3 cloves garlic, minced

1/2 cup dry white wine

2 cups heavy cream

2 cups (8 ounces) Wisconsin parmesan cheese, shredded

Salt and pepper