Hmmmm this is a tricky one since you could interpret it in multiple ways:
1. Shadow wants to defeat his opponent who lets say has Type 4 Immortality, so they can ressurect after death. That character dies by fate, but you can interpret Shadow is certain that killing his opponent once, well, kills them for good (as anyone would normally expect that to happen). So fate bends to what Shadow thinks / expects is going to happen. If he kills the oppoent, they are dead and
shouldn't come back, since fate is bent on Shadow thinking the opponent shouldn't come back to life once they are killed. If the opponent resurects after death
by their own accord then the fate hax will make them not want to resurrect anymore (since fate hax has been shown to change how people think in the game). If the opponent is resurrected
by some other being, like for example Bloodborne's
Hunter being brought back to life by
Moon Presence, then the fate hax will cause Moon Presence to stop wanting to resurrect the Hunter after they are killed. And if the opponent is ressurected
by some (mindless) concept they embody, then I guess fate just predetermines the fact that the opponent will not come back to life.
2. Shadow wants to defeat an opponent with Type 4 Immortality, but because he wants to just do that - defeat them - then fate will cause them to be defeated / killed, but they will still come back since Shadow "didn't specify" that they have to stay dead. Although if Shadow has prior knowledge that the enemy can come back to life after being killed, he would most likely wish for them to stay dead after he kills them, so fate
should keep them from coming back.