Cook pasta according to the directions on the box.
Add broccoli florets to the pasta during the last 2 minutes of cooking. Drain and set aside.
In the meantime, prepare the chicken.
Heat olive oil in a large skillet over medium-high heat.
Add in the chicken and season with salt and pepper. Cook for 4 to 6 minutes or until browned.
Meanwhile, in a mixing bowl, whisk together the milk, chicken broth, and flour.
Add garlic, salt, pepper, and chili powder; whisk until well combined.
Stir the milk mixture into the pan with the chicken.
Cook for 2 to 3 minutes or until the sauce has thickened.
Add in the pasta, broccoli, and cheddar cheese; stir until cheese is melted and continue to cook for 2 to 3 minutes or until heated through.
Remove from heat and let stand for 2 to 3 minutes.
Stir and Serve.