If you would Accelerate it out of the deck, instead discard the next Stage II card underneath it (or the top-most Stage III card if there are no Stage II cards left).
Visions of a Shifting Future can't bury it to the bottom of the deck (since it's specially placed during Setup), but can shuffle it to take a chance at delaying it.
However, the Spirit still needs to pay any costs associated with using the Power, whether that's a mandatory "Cost to Use" (e.g., for Absolute Stasis) or a cost associated with a particular choice (e.g., for Hazards Spread Across the Island). You can pick a Power Card with a Cost to Use that you can't afford; in that case, you fail to use the Power and then Forget the card. Tags: Cost To Use, Resolving Powers, Ethereal Conjunction, Absolute Stasis (Fractured Days Split the Sky), 3 more...
It still counts as being resolved "for the first time" (JE rulebook p. 27), since it was turned face-down and returned to the Invader Deck; it has no "memory" of what it did the previous time it left the Invader deck. Tags: Stage II escalation, The Past Returns Again (Fractured Days Split the Sky)