You may want to do a File explorer search in the correct drive for pdr.exe . Once found, right mouse click and open it. If it works then you can create a desktop shortcut for it. More than likely you used a utility to remove oem junk to clean up the desktop. Your Dell should have a restore partition or a set of oem discs to restore it back to oem status if you did not make a backup. It sounds like that Dell did not supply you with the PD15 and the store did.
You could make a backup of your software in case more software gets tossed.
Cybelink is giving away PD16LE for free through a giveaway for those who want it. Do the search if desired.