How to Reduce Anxious Sweating. The key to reducing anxious sweating is not stopping the sweating itself. You can't (and don't want to) stop your body's ability to cool down, otherwise your body would overheat and potentially damage your brain and organs.nxiety Sweating-How To Reduce It. Many of the symptoms of anxiety are frustrating. Sweating is especially frustrating, and sweating is one of the most common anxiety symptoms. That's why so many people wonder how to stop sweating and what can be done to reduce its severity.