The drunk man's speech was slurred, making it difficult to understand what he was trying to say.

Yes

Having anxiety and slurred speech can be a many of things. When a person has the symptoms it usually means you are having a micro stroke.

If you are dizzy and have slurred speech, it could be a very serious problem, such as having a stroke. You need to seek medical attention immediately.

If your speech is slurred, I wouldn't fool around, go to the Emergency Room. May be a stroke. Regardless, it needs to be looked at.