I guess depends on your definition of a stress response; most people would consider it to be a 'stress response' whilst you have high adrenergic/sympathetic activity. Upon activation of the parasympathetic nervous system there will be a gradual decrease in cortisol and a rapid decrease in adrenaline.

Thyroid hormone is also going to be implicated somewhere along with a host of other hormones so I have simplified but suffice to say it's shades of grey on the way in and out