I have actually ironed out a kink in one of my necklaces with a kink. I laid it inbetween a layer of felt on something hard and put the iron right on top of it. Gold is a soft metal and you can sometimes heat it up enough to flatten it for DIY repair.
The amount of heat from an iron won't melt it even on the highest setting. The gold can get hot enough to burn you, so work with tweezers when it is hot. I even took a small tack hammer and tapped on my necklace while lying flat to get the worst kink out. Not perfect but considerably better than doing nothing.
Hope that helps...