Place chicken in crockpot. Drizzle the oil over the chicken. Season with the salt, pepper, cumin, chili powder, onion powder, garlic powder, and smoked paprika.
Add canned green chiles and toss. If adding the chicken broth (you don't need it if using chicken thighs).
Depending on the size of your meat, cook on low 4-7 hours or high 2-4 hours. Shred. Cook your pasta.
If necessary, remove chicken from crockpot so you can get the liquid. We need 1/2 cup for the cheese sauce.
Remove all of the liquid from the crockpot and put the chicken back in. Add cooked pasta.
Mix together the blended cottage cheese (or blend it all together in a blender), 1/2 cup of cooking liquid, lemon juice, nutritional yeast, and cayenne.
Pour sauce over pasta and chicken. Stir to combine. Taste. Does it need more spice, more cheese flavor? Add more of what you think it needs. Depending on the strength of your seasonings, you might need a little more of something.
Serve as desired.