@18hunt: this will be locked because you broke the rules NO GODS IN FIGHTS
Hulk super power is mostly to survive, I thik he can manage to puch the living daylights out of Barragan. Everytime an aged hulk appears in comics he is much more badass than his modern counterpart. Maestro, the Hulk in Old Man Logan and others
1. Barragan fly. Hulk would has one hit. Even that won't happen. Shinigamis can live thousand years and the respira did start rotting her arm immediately. Even if Hulk could live 10000 years without food, water, oxigen, that's only help him for some second more to live against respira.
Myth Zeus "real" god, win. Comic Zeus fake god, lose.