Bring a large pot of salted water to a boil over high heat.
Add the pasta and cook for 12 minutes or until al dente.
Meanwhile, in a large sauté pan,
On medium heat, add half the butter, then add the mushrooms and stir for approximately 4 minutes until they are soft.
Add the garlic, the rest of the butter, and shallots, then add salt, pepper, and thyme. Stir until fragrant, about 2 minutes.
Add pieces of rotisserie chicken.
Add ½ & ½, increase the heat to high, bring to a boil briefly, then reduce to a simmer until the sauce thickens enough to coat the back of a spoon, about 5 minutes.
Add Parmesan cheese and adjust the seasoning to taste.
When the pasta is ready, drain it and add it to the pan with chicken and mushrooms Alfredo.
Gently toss together over low heat, garnish, and serve immediately.