The way I beat it was:
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×The serpent should die first. So enter the room, and move north around the western side of the chamber.
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×Let the queen go into the serpent chamber.
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×Then go to the tip of the serpent chamber. The queen should head south for the force arrow. While it is moving towards the arrow, QUICKLY, move to the space about the force arrow. Wait until the queen is out of the chamber, then the queen should be easy kill.