Involvement
Upon touching her corpse, it will explode thanks to the 
condition.
The corpse can be safely picked up by right-clicking and choosing pick up (PC), provided you have enough strength. The corpse can actually be "activated", producing the damage and poison cloud, by looting it while still in your inventory. Doing it in this fashion will not destroy the corpse. (This will not allow you to successfully loot the body, just produce the effect.)