Cook the fettuccine according to package instructions.
While the pasta cooks, season the chicken breasts with salt, pepper, garlic powder, and smoked paprika.
Heat olive oil in a large skillet over medium-high heat, then add chicken.
Once cooked, remove the chicken from the skillet and let it rest.
In the same skillet, reduce heat to medium, and add heavy cream, stirring frequently.
Add the Parmesan cheese, diced green chiles, lime juice, and stir until the cheese is melted.
Combine the cooked fettuccine with the Alfredo sauce, adding pasta water as needed.
Slice the rested chicken and serve on top of the pasta.
Garnish with chopped cilantro and serve hot.