Anxiety disorders are characterized by generalized and persistent anxiety or recurrent panic attacks, often accompanied by autonomic disturbances, muscle tension and motor restlessness. The specific manifestations are chest tightness, dry mouth, palpitations, irritability, and depression.
That is, anxiety disorders can have the emotional manifestation of irritability, but if it is only a simple, short period of irritability that can be self-regulated and relieved, it is not an anxiety disorder.