Gordian is an adjective that means intricate or difficult to solve. It can also be used as a noun that refers to the Gordian knot of legend.
According to tales of yore, Gordios (GORE dee ose) the king of Gordium, tied an intricate knot and prophesied that whoever untied it would be the ruler of Asia. It was cut through by the sword of Alexander the Great.
Today, the word may still be used when retelling this legend, but it is more likely to be used as a synonym for words like complicated, intricate or convoluted. The health clinic gave great service, but they had a very gordian system. Even something as simple as getting prescribed an aspirin would demand navigating through an elaborate maze of paperwork.