Guns are a touchy subject, but I think daughter-of-a-general Lois should have a good amount of firearms training. Plus, when you consider the types of enemies she makes from doing her job, I think the movie version of Lois probably should be conceal/carry.
EDIT: I don't own a personal firearm, but speaking to people who have dangerous jobs like prosecutors and even public defenders, I understand why many of them are conceal/carry.