Why would we have to keep it away from your character?

Anyways the ZPM is strictly a power source. It increases the efficency of the ships systems most notable the hyper drive and shields but it doesn't make the ship invulnerable. In 'Unending' the very last SG-1 episode the ZPM powered Odyssey was on the verge of being destroyed ZPM or no and was saved by Asgard systems.

A Zero Point Module would only increase ability to run and perhaps grant a slight advantage in combat but it doesn't make the ship immune to damage. You're blowings power a bit out of proportion because of the fact that it is Ancient tech and the things it is able to do when it is powering the right devices. A ZPMs effectiveness is limited by what it is powering, on Earth the weapons platform was able to destroy Anubis's entire fleet but this was the result of the Drone Chair and platform design. The ZPM is simply a power source and if a story comes up where we need to be short on power several I replicable relays between the ZPM and the ship could get damaged.