If you don't have appendicitis will tgey still remove it?

Sometimes. When performing exploratory surgery based on the presumption of acute appendicitis, we usually remove the appendix even if it looks normal. This is because it may still be inflamed, which can be determined by looking under the microscope. Furthermore, whatever caused the pain may recur; the next time we will know it's not appendicitis.
Maybe. If i take a patient to the operating room for right lower quadrant pain, they lose their appendix so that if it is not causing the problem, we know that it cannot be appendicitis when or if they have continued problems after surgery. Sometimes the appendix will look normal and the patient will still get better. It is important to look for other sources of the problem while you are there.