The use of this card (move a Lt. to any legal location on the overland map) is not connected with any of the steps in the game week or any other condition (beyond the one to place the card in the graveyard to use it).
Would it then be safe to assume that the OL can use the card anytime?
E.g. the heros chase away one or more Lt. from Tamalir to prevent a raze roll in the next week - OL uses the Gem to return one Lt. to the city immediately (or at the start of the new week), maintaining the siege tokens and granting a raze roll.
Creative use of the card or foul play?