Using medium high heat, allow Skillet to fully heat and then add grease/oil.
Add Onions and cook until caramelized and then transfer to a paper towel.
Lightly wipe out Skillet and add more Grease/Oil, if needed.
Pour in Eggs and cook until Eggs are no longer completely loose.
Place Salsa Lime Chicken on one-half of Omelet. Add Onions and allow the Omelet to continue cooking.
When Omelet is almost fully cooked, add shredded cheese and cream cheese. Cover Omelet with lid, if not all the way cooked and allow to finish cooking.
Slide Omelet to a plate and fold over with Spatula