TL;DR : Wonder Woman would die all the way.

VS.

Do you know what's the main difference between Kratos and Wonder Woman?

Wonder Woman has only killed the D.C. Ares to become the GOD of War. But, Kratos has killed pretty much every single Greek GOD of his Universe including Zeus, Poseidon, Hades and Ares. He's the true GOD of War.

While, on the other hand, Diana fears her father Zeus and knows that she would be wrecked if she fights him. But, Kratos wasn't like that. His Will Power is on a different level. He killed Zeus. And that too, bare-handedly.

That's not a joke considering the fact that the GoW GODS are much more powerful than what many people think and are actually more powerful than their Marvel/D.C. counterparts.

Now before people come in and claim “GoW GODS are just weaksauces going by their Feats, you're wrong!!!”, just see this Feat which Kratos achieved:-

He avoided being crushed by Atlas Titan.

The same Atlas Titan, who holds the GoW Greek World in its entirety:-

The same GoW Greek World, which has been stated to be Infinite in size by MULTIPLE sources many times:-

In terms of speed, he can kill Beast Thanatos:-

What's so special in it? Well, Thanatos is a Primordial God, since his in-Game description states that his domain existed “long, long before the Titans and the Olympians”. This makes him a Primordial. What's so special in it now? Well:-

These are the Primordials. They preceded the existence of Time, Space and the Universe/Sky/Heavens/World, which are inter-changeable terms, as Uranus(the Starry one)spawned in the Universe and he’s stated to be the embodiment of the Heavens in the above artbook image. If it’s not obvious by the above GIF, a developer confirms that the Primordials created the Universe:-

Actually, Uranus created the Universe and the other Primordials took the shape of concepts in it as confirmed by multiple canon comic book scans:-

They existed in a Void of Infinite nothingness, know as Chaos(the red one), which also spawned in all the other Primordials out of nothingness, creating Life.

All these Primordials fought in a battle, which raged for an “Eternity”(because Time didn’t exist during their battle, so putting a measurement scale is impossible). In this battle, Ceto(the green one)punched Uranus(the starry one)on his face, making the entire Infinite World fall off from his face. Their battle created the Universe as a mere side effect.

What’s the proof that Thanatos is on their level? Well, all the Primordial are equal to each other in power as stated by Ariel Lawrence, the Story writer of GoW 1,2 and Ascensions:-

So apparently Kratos not just killed a 5-D being, he killed a 5-D high Universal level Primordial during his early days as the God of War.

And, that’s just barely scratching the surface when it comes to the feats of the GoW lore.

It’s should be pretty obvious who’ll win by now. You decide.