[Stonewall]

If you only broke off one of the leads to the coil, it is quite possible to very carefully, with a good magnifying device, find the broken end of the wire in the coil. I've done it before using a jeweler's loupe and a dental probe. Then you may be able to unwind just enough of the wire to reach a connection point or connect to a new lead. Twist the tiny wire around the connection point and heat with a very hot soldering iron, then apply solder. If the soldering iron is sufficiently hot, it will melt off the insulation; trying to scrape it off is very difficult. If you only unwind an inch or two, the change in inductance and resistance will not be problematic.