Oops, all is not lost however, the easiest thing to do would be to trace the circuit you've pulled off back to where it came from, either a component or a via. You could then solder a thin piece of wire from there back to the display board. Try to make the new wire the same length as the original track to avoid any timing funnies.

... and be more careful, I use desolder braid very carefully and I've found I can remove most things off boards without any damage.