I cannot tell, obviously one wire no problem, I cannot see where the other one is broken off. Do you have an actual digital camera with a
"macro" setting designed to take up close pictures, like flowers and insects. Most cell phone camera's lack the ability to focus up close, I know my blackberry is worthless for up close and detailed work. One possibilty is grind some of the plastic around the one broken off wire to expose a little more of the copper from the broken off wire.. Then with a good solder (Ersine is one of the best, but Kester if that is all you got) "tin" the end of the exposed wire, and then "tin" the end of the replacment wire and "sweat" them together. then try to devise a clamp to take any strain off of the new wire. If you can slide a piece of heatshrink over the wire first before it is sweated onto the original wire you may be able to slide it down enough to cover your joint. As for solder, you need the old "lead/tin" solder not this "darn" lead free Rohs (Reduction of Hazardous Substances) compliant crap they are selling now-days.. it is TOTALLY worthless. It will not flow, worth a darn.
Try to take a better picture, or if not possible, try and take your dremel with a fine point tool and "dig out" the end of the broken off wire, enought to tin it. Then run a continuity check on the coil with your ohmmeter and make sure it has a low resistance before bothering to solder it up.
James K0UA