I agree with Armadillo.
Personally I'd use a dremel/rotary tool with a burr to grind out the burned area, assuming it's
NOT a multilayer board
Wear a mask/goggles (imagine crazed dentist?)
Fill with epoxy - they do have plastic/glass filler powder at some plastics distributors.
I've never bothered with coloring it..the customer generally knows there was a major problem..why try to conceal it?
If they want it perfect, buy another board.
And yes, replace the traces with jumper wires, yada, yada..
(looks like there was a well vapourized component there...not to mention the corroded traces leading up to it)