... if you wanted to be really keen you could test the insulation resistance between the traces after you've cleaned and scraped between them with a Megger (or similar).
Remove the affected component from the pads, cut the traces nearby so that you're not going to back-feed into the rest of the circuit or damage anything with the test voltage. Then after you've cleaned up the burnt area, give it a good test with the Megger to make sure it has adequate high-voltage insulation. Then repair your cut tracks by scraping back the solder resist either side of the break and bridge with a bit of wire and solder. Maybe re-cover the scraped away bits of PCB and traces with conformal coating afterwards as well...