Is the LW program installed onto an external drive?
If not it might just be that your shortcut is corrupt. This is not an uncommon happening in windows. Simply delete the shortcut, go to your programs folder & find the LW program inside the program folder, right-click choose create shortcut send to desktop.
Are you using an external storage drive at all? If yes & you have LW set to run from there or your save & shared folders are set up there, then that might be the problem. LW seems to greatly dislike external drives.