Consulting NUKEMAP, which only goes up to 100 megaton nuclear explosions, such a bomb exploding on the surface of Mt. Etna would immediately kill about 241,000 people, and injure over half a million more. NUKEMAP doesn’t attempt to estimate deaths and injuries from radioactive fallout, but it does offer a map showing that many many more people in a much larger area would be dead within a month from radiation poisoning, probably (it projects) in southern Italy, Albania, Montenegro, Macedonia, Serbia, Romania and Bulgaria, and even more dead, dying, and/or cancer-ridden for years to come.
And again, no helpful effects as far as “killing” the volcano. If anything, you’d be sending now-radioactive magma flying much farther than it was going before, and I imagine encouraging more geologic activity rather than discouraging it.