Stress and anxiety aren't the same thing. Stress has an actual cause, whereas chronic anxiety is a pretty ridiculous illness that often has no discernible cause. Stress can, however, definitely cause your digestive problems, but so can diet, hidden infections, and other things. I'm with mammo, this doesn't sound like anxiety as much as stress over something real, but that doesn't mean learning some relaxation techniques and taking some simple natural remedies won't possibly help the digestive stuff calm down even though you have some real other medical problems.
I doubt that it's anxiety, Bells Palsy is pretty easy to diagnose and I'd rather have that than the anxiety! Take care.