If you run Gnome 2, by default Gnome will create a number of personal directories/folders for you. These include Videos, Music, Documents, Desktop.
You can easily remove Videos, Music, and so on. If you remove the 'Desktop' folder, Gnome will persist in recreating it, even against your wishes. This can create frustration and perhaps even a sense of helplessness.
Here's how to fix it so the deleted 'Desktop' folder is permanently removed.
Start gconf-editor and click:
Delete 'Desktop' folder.
Unfortunately, this removes your desktop contents such as Trash and any Icons or shortcuts you had.