How would one be able to nuke the sun?

Not that "she" would care, when the bomb arrives the sun, you would be dead anyway in the meantime, you would need ALOT more time then just 24 hours. And remember, the light needs 8 minutes from the sun to the earth. And lights speed is huge. See! Bursted your bubble!
Otherwise, some Dr.Strangelove Action is a good idea. I always wanted to mount a thermonuclear bomb!

On a sidenote, it's fun how nearly everyone mentions killing someone when the old rules are gone. One could write some works about that.
