What is the name of the syndrome that you get when you are diabeting and you don't feel well?

The syndrome you're referring to is likely "diabetic ketoacidosis" (DKA). This serious condition occurs when the body starts breaking down fat at an accelerated rate, producing ketones, which can lead to a dangerous buildup of acids in the blood. Symptoms include nausea, vomiting, abdominal pain, and confusion, and it typically occurs in individuals with type 1 Diabetes or those with type 2 diabetes who are under extreme stress or have an infection. Prompt medical treatment is essential to prevent severe complications.