While pasta is cooking, add olive oil to skillet and place over medium-high heat. Add chicken and season with salt and pepper. Cook, stirring to brown all sides of chicken until chicken is cooked through, about 8 to 10 minutes.
Remove chicken from skillet and set aside.
Add butter to skillet and when it is melted, whisk in flour and salt. Cook for 1 to 2 minutes and whisk in half and half and chicken broth. Cook, whisking constantly about 2 minutes. Stir in shredded cheese and continue to stir until cheese is melted and sauce is smooth. Add chipotle and ground mustard, stirring until well combined.
Add cooked and drained pasta, chicken and steamed broccoli. Toss to coat and mix thoroughly. Continue to cook about 5 minutes or until all is heated through.
Serve immediately
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