Hi there,
It does sound like
acute appendicitis, and I would advise you to get yourself to the hospital as soon as you can. You have actually described the pain very well, because an acute appendicitis, unlike the usual spasms of a
diarrhoea or urinary
colic, causes a localised area of inflammation. This makes movement from deep breathing or changing positions painful, something that doesn't happen with the regular cramps.
It is also at the correct location at the lower right abdomen, and yes, the pain can be referred to the navel. In fact in the early stages, many people feel it only at the navel before it moves to the right lower area.
So yes, I would say that it is worth calling the ambulance to get you to the hospital before the infection spreads further. Waiting 7 hours until morning comes is pushing it a little too far, because we also have to factor in the time it would take the doctors to screen, refer, and get you prepped for surgery. Don't eat or drink anything in the meantime, because ideally they would want your stomach to be empty for at least 4 hours before you go into surgery.
Hope this helps, and all the best to you.
Regards,
Dr. Teh