Place onion, garlic, Anaheim pepper and chicken breasts in crock-pot. Mix together chicken broth, adobo sauce and cumin; pour over chicken. Cover and cook on low for 3 hours.
Meanwhile, dice the cream cheese and keep out so it reaches room temperature.
After cooking for three hours, ladle approximately ½ cup of hot broth from crock-pot into a small bowl. Whisk in cream cheese. When well incorporated, add cream cheese mixture to crock-pot; stirring well. Cover and cook on low for an additional 1½ hours or until done.
Serve over brown rice or noodles. Garnish with fresh parmesan cheese, if desired.