I suspect the problem is the lack of write permission on the Desktop dir. Here is what mine looks like, I can delete icons in the folder at will.
Quote:
ls -l Desktop
total 64
drwxr-xr-x 2 cliff users 4096 Jan 22 09:17 ./
drwxrwx--- 98 cliff users 4096 Feb 1 06:52 ../
-rw-r--r-- 1 cliff users 65 Sep 13 2011 .directory
-rw-r--r-- 1 cliff users 22458 Nov 28 2011 .pdf
-rw-r--r-- 1 cliff users 178 Jan 23 2012 Bluetooth.desktop
-rw-r--r-- 1 cliff users 213 Jan 22 10:38 Compiz\ Fusion\ Icon.desktop
-rw-r--r-- 1 cliff users 189 Oct 28 2011 Mail-light.desktop
-rw-r--r-- 1 cliff users 199 Dec 23 2011 Root-ZenMap.desktop
-rwxr--r-- 1 cliff users 115 May 21 2012 Virgin\ Radio.pls*
-rw-r--r-- 1 cliff users 6284 Sep 13 2011 trash.desktop
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Add write permission to the Desktop dir and see what happens.