There is no way to prevent the death caused by Unyielding Aura ending.
If the caster of the enchantment dies approximately one second after casting, the enchantment will never be placed, resulting in a full resurrection with no penalty for the resurrected player.
Ending this enchantment does not incur death penalty, just as any death while under this enchantment does not incur a penalty.
Bug! Sometimes, when a player is resurrected with Unyielding Aura, that player gets a massive white box instead of the normal head. This effect lasts until death and renews after getting resurrected again.