To begin, if you have a oven top broiler that you can place a skillet under, begin preheating it. If you have a tiny “under everything” broiler – you’ll need to preheat your oven to 375 degrees instead. If using the oven, oil a 9×13 or so baking dish.
Start a pot of salted water to cook your pasta. I used a pound of conchiglie, but you can use a pound of whatever macaroni style pasta you like. Cook the pasta according to package directions, making note of a step you will take below before the pasta is done.
Meanwhile, cut the chicken breasts into 3/4 inch pieces. Sprinkle with the salt & pepper. Heat the oil in a skillet over medium heat and sauté the chicken until it is cooked through. Add in the minced garlic and cook for just a minute.
While the chicken is cooking, whisk the milk, vegetable broth, flour and turmeric together until smooth. Pour the milk mixture into the skillet. Let this cook, stirring often, until the mixture begins to bubble and thickens a bit.
Turn off the heat and stir in 2 ounces of the shredded cheddar cheese. Stir until it melts in. When your pasta is just about done cooking, toss in the frozen broccoli florets and let them cook with the pasta for the final 2 minutes.
Drain the pasta and broccoli. Add the pasta and broccoli to the skillet and gently stir it all together. If using your broiler, leave it in the skillet. If using the oven, pour the mixture into the baking dish. Top with the remaining 3 ounces of shredded cheddar cheese. Broil for 3-5 minutes or bake for 15-20 minutes or until the cheese is melted and bubbly.