My 96 VW golf with a 2.0L overheats

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The cooling fan is hooked up with a wire that is pushed in with a 30A fuse in the fusebox.yesterday i pulled the wire out by accident and the car started to overheat prior to that incident the car ran fine.i let the car cool down and i reconnected the wire but my car overheats while just idling as soon as i start it a red light starts flashing and the temp just keeps going up .i dont know what to do did i damage the engine when it overheated