joppo: If you
deleted the game files, you did not uninstall it. Usually installations create entries in the Windows registry, which is what Windows use to create the list you have in your screenshots. Deleting files wouldn't touch the registry.
There are ways to clean the registry yourself but I think you're not a tech-heavy person, so I don't recommend you do that because you might mess something else in the process. The registry isn't easily exposed for a reason. There also are programs that make this cleanup for you, but in your case I recommend a more roundabout but very simple way:
Reinstall the game in the exact same folder it was before; the new registry entries will just override the older ones. Then once the game is there you proceed to uninstall it by using either the game's uninstaller or the button you showed in your screenshot.
I did actually uninstall the game the right way from add or remove programs,I didn't just delete the files.
I also did try to reinstall and delete the game and it was the same, the icon still shows up in the list when i check
Originally there were 2 icons the game and the second one which is the ''UDK'' which is still left after deleting the game