Transfer your chicken-vegetable mixture to a clean bowl and set aside. In your blender or food processor, combine the cottage cheese, sharp cheddar cheese, Frank's RedHot, and 1 tablespoon of your filtered water. Blend on high for 45-60 seconds until completely smooth with zero visible cheese curds. This is non-negotiable for that restaurant texture.
If the sauce is too thick to pour (it should flow like heavy cream), add the remaining tablespoon of water and blend for another 15 seconds. Taste it now—before mixing with chicken. The sauce should taste spicy, creamy, tangy, and salty. If it's too hot, add a pinch more cheese. If it's bland, add a tiny pinch of salt.