I would STRONGLY suggest trying to get it back out the way it got in. You may fail, but at least you know that is possible. Depending on the type of plug, and the piping between your skimmer and your pump it may NOT be possible for it to reach the pump.
What you might want to try, instead of a compressor, is taking the flow from your pump (if you have a main drain) and reversing it and running full water flow through the skimmer, backwards.
Good luck!
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