Generalized anxiety disorder (GAD) is a diagnosable condition, distinct from ordinary stress: worry that is excessive, spreads across many areas of life, is hard to switch off, and persists for months. It often comes with physical symptoms — restlessness, muscle tension, fatigue, trouble concentrating, irritability, and disrupted sleep. GAD is common and treatable, usually with psychotherapy (particularly cognitive behavioral therapy), medication such as SSRIs, or both.
It matters on a GLP-1 because anxiety can move in either direction during treatment. Steadier blood sugar, quieter food noise, and weight change ease anxiety for some people, while a minority notice new or worsening anxiety, and drug-safety databases show a small reporting signal. A GLP-1 is not a treatment for anxiety. If worry is persistent and getting in the way of daily life, that's worth raising with a prescriber or mental-health professional — see the guides on GLP-1 medications and anxiety and getting mental health support on a GLP-1.