^If it stood up to the blast from all the conventional explosives in the warheads. Remember, if one goes off, all of the others are going to cookoff as well. That would still be a pretty big yield even without it going nuclear.
It's still just going to only be the conventional explosives, though. You'll be getting no explosive action out of the active materials in the warhead. Yeah, it's gonna really screw up your ship's hull, but it's still pretty survivable - unless you've really went cheap on your hull composition. And, I would assume that when they retrofitted that missile launcher onto the hull, they did some reinforcement work underneath it. So i think the biggest problems are going to be:
1) Decontaminating whatever is left of that weapons pod structure.
2) Replacing the weapons pod structure.
3) Repainting that spiffy orange racing strip on the hull.