Why though? Am under stress! Quickly, contract inflammatory bowel disease! How will that help?
Of course, it is not good for the guts, but the consequences can be dealt with later, if we survived the stressful encounter.
It totally makes sense, but it can become a problem if fight or flight is not the appropriate response and stress lingers for longer than necessary, as it is all too common in modern human society.
However, if the stress is permanent and never goes away, the digestive system become suppressed for way too long and gets damaged.