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I was thinking about radiation. I thought radiation made her like this.

Oh, I was in the wrong story anyways. I'll edit my comment a bit. But it wasn't radiation which made her like this. This is the first story I posted on the same world as these.

The story being hinted at is that some people found power called magic sealed and then they released it in the world. Nukes were just an attempt to either stop them or to get them die (so their magical powers would be shared to others).