In a large pot, bring salted water to a boil. Add the penne pasta and cook according to package instructions until al dente. Drain and set aside.
In a large skillet, heat the olive oil over medium heat. Add the diced onion, carrots, and celery. Sauté the vegetables for about 5 minutes, or until they soften and the onion becomes translucent.
Stir in the minced garlic and cook for an additional 1 minute, stirring frequently to prevent burning.
Add the shredded rotisserie chicken, frozen peas, chicken broth, heavy cream, dried thyme, dried rosemary, and a pinch of salt and pepper to the skillet. Increase the heat slightly and bring the mixture to a gentle simmer. Allow it to cook for about 5-7 minutes, stirring occasionally, until the sauce thickens slightly.
Stir in the cooked penne pasta, making sure to coat it well with the creamy sauce and evenly distribute the chicken and vegetables throughout.
Sprinkle the grated cheddar cheese over the pasta and then cover the skillet with a lid. Let it sit for 2-3 minutes on low heat, allowing the cheese to melt beautifully into the dish.
Carefully serve the pasta warm in generous portions. Top with chopped fresh parsley for a fresh finish.
Notes
Use deep bowls or plates for serving, and add an extra sprinkle of cheese on top. Finish with a sprig of fresh parsley for a vibrant touch that enhances the dish's visual appeal.