Question about Lady Deathstrike

So Lady Deathstrike has a Prey effect that activates when a Master Strike is played. Usually a Prey effect is resolved ("Finish the Prey") at the end of the turn if the villain was not defeated.

But in this Mastermind case the wording on her effects made me interpret that she only "Finish the Prey" once a new Master Strike is draw out of the Villain Deck, and not at the end of the turn the Prey was activated. Is that correct?

And after she finishes a prey she immediately moves to a new prey, so she can still activate her "Finish the Prey" effect up to 4 times in a match. Right?

Thanks in advance.