Black Knight Irios
Explorer
RAW, I don't think you can choose to allow an enemy to move through your space, so the invisible creature blocks movement "an invisible force blocks your way" or something, if you have movement left, continue. If the creature takes an OA, it will have to stealth again (assuming it's still invisible or otherwise has total concealment/superior cover), but I would also say the creature does not have to take the OA. The players know something is there, invisible, but maybe it's an object, not a creature.
That depends on how "fast" one can assign the ally/enemy tag to a creature and reverse that decision.