noun
a complex or intricate problem or situation that is difficult to solve
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The diplomat faced a Gordian knot of diplomatic challenges during the peace negotiations.
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Dealing with that issue is like trying to untangle a Gordian knot.
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Man, that problem is a total Gordian knot - good luck figuring it out!
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She saw the tangled mess of emotions between them as a modern-day Gordian knot.