Bring a large pot of heavily salted water to a boil. Cook the pasta for 1 minute less than the package directions say. Drain.
In a large pot, combine the enchilada sauce, cream, and cumin and heat, whisking often, over medium heat until it begins to bubble. Reduce heat to medium-low and add the cheese. Stir until the cheese is fully melted and smooth. Stir in the cooked pasta and chicken. Season to taste with salt and pepper if needed.