Kong should be able to win, especially with the axe. But he's gonna get mauled by the beak without it.
It would be like a human/gorilla versus a giant f****** harpy eagle twice the size of the largest eagle ever comparatively. And that eagle goes past mach 3 and is on fire and bleeds lava.
ShadowFyre
But yeah, one hit from the axe or if Kong gets ahold of his wings, Rodan goes down