We know the Ancient Greeks had medicine. Examples of the diseases that afflict us now, such as cancer and TB, and diseases we have managed to conquer such as smallpox, are found in their writings.
What do we know of medicine in Bronze Age Crete? Not very much. We know they used herbal remedies. An examination of Egyptian dynasties contemporary with Crete suggest other possible medical treatments. Papyri and scenes inscribed on walls depict medical instruments. The purpose of some of them, however, are still a mystery. Instruments from later dynasties have been found as well.
Papyri, and clay tablets from Mesopotamia, show that a huge feature in medicine was divine intervention. Prayer and animal sacrifice, which we know were also employed in Bronze Age Crete, were important features. Amulets, to keep demons and bad outcomes at bay, were commonly used. Astral medicine, i.e. using the stars to predict the best time for the best outcomes, was also very important. The zodiacal calendar was used to predict the most propitious times for medical treatments.
I want to add that seers were used to predict the best times for all important activities. The flights of birds was one method. The sacrifice of a sheep and the reading of the organs was another.
Our current medical system certainly has flaws. I am very glad, though, that a surgery appointment does not depend on how a flock of birds fly through the sky!