Unless that shadow is a dent, it doesn't look like shipping damage; more like the door fell off its hinges. If so, your best bet is the epoxy trick, done from inside with a strip of reinforcing cloth. You can see if this would work by just taping it.
There is nobody who has mastered the art of soldering without messing up paint - at best the paint will discolor within about an eighth of an inch of where heat was applied. Then you are going to have to pay a painter - maybe not the same guy as the solderer. At some point, it is cheaper to eBay this one and buy a new one. Skilled model makers who work for six bucks an hour are becoming increasingly scarce.
Opinion.
