Asking your doctor for something for the stress and/or anxiety is a very good idea. I am on prednisone right now, too, and am experiencing wild mood swings. Completely out of the ordinary for me and the smallest things stress me out. I wake up around 3am every night with a pounding headache that pretty much lasts all day until I can lay down and relax in the evening.
My personal opinion is, if you need help, ask for it. And it does not mean anything other than the fact that you are strong enough and smart enough to ask for it. Can you imagine your stress levels if you really "lose it" while on shift???? Wouldn't it be a wonderful world if we could just get rid of stress?
Good luck.