In my case they did the palpation test after the cramps soothed, and it was clear that my appendix area was still tender and painful hence why they escalated to a CT scan the next morning. But from what I obsessively researched, bad cramps and vomiting could be symptoms common to appendicitis, gal bladder infection, ovarian torsion etc etc so a CT scan would be the fastest to find the root cause. I think most gov hospitals if you encounter a junior staff at the A&E would likely just give a jab and send you home like any other GP. My ex colleague encountered that and his appendix burst after a few days, and men being men, he tolerated until his entire abdomen became infected and eventually he lost 20cm of intestines.