Anyone who has seen Evangelion episode 5 and 6 would recall
that it is a very devestating, its powers I mean.
Just look at this description:
Ramiel is by far one of the more powerful Angels to be pitted against the awesome might of the Eva series. It posseses an exceptional AT field, so powerful in fact that the spatial changes in phase generated by the field can be seen by the naked eye. Ramiel is also capable of skimming across surfaces and possesses a devastating accelerated particle beam cannon capable of shooting right through an Eva given roughly five seconds. Ramiel also indiscriminately targets opponents that enter within a set distance of the Angel, thus all in all Ramiel is a flying fortress capable of decimating those foolish enough to approach.
Although Godzilla has his radioactive heat beam I simply think he is not
powerful enough to beat the angel. Afterall it took all of Japan's electrical
power (that was used to charge another particle beam weapon) in order to beat the angel.
Godzilla simply does not have that much fire power. I say he loses and
gets hit by the angel's particle beam weapon and is vaporized instantly!!