Hi, Greg. Quoting from "Understanding Wood Finishing" by Bob Flexnor (a great book and I heartilly recommend it), "Heat damage appears similar to water damage. The film becomes cloudy and off-white in color. Heat may also cause an indentation in the finish. Heat damage is usually impossible to repairwithout stripping and refinishing. It might be possible for you to apply alcohol to a shellac finish or lacquer thinner to a lacquer finish and correct the problem by redissolving the finish and letting it cure again. It's often worth a try, but it probably won't work."
Only because you will probably have to have it stripped and refinished anyway Greg, you can try to fix the damage if you like. I suggest that you make up a pad like you do for french polishing and start with a little alcohol on it. Rub briskly in a figure eight motion and don't let the pad sit on the table. If this shows no sign of working, make up another pad and try the same thing with lacquer thinner. Do either of these with good ventillation and leave the rags outside for a couple of days before you bring them in to throw them away. But the process still may not and probably will not work. If it does, come back and tell us what a great job you did.