There is no way to remove MY Computer from the desktop without removing the entire desktop (see NoDesktop at tip 050).

You can attempt to hide it.

0. Drag the icon as far to the bottom of the screen as you can.

1. Edit:

HKEY_CLASSES_ROOT\CLSID\\{20D04FE0-3AEA-1069-A2D8-08002B30309D\}

    and empty the <No Name> REG_SZ value.

2. Edit:

HKEY_CLASSES_ROOT\CLSID\\{20D04FE0-3AEA-1069-A2D8-08002B30309D\}\DefaultIcon

    and set the <No Name> REG_SZ value to a see through icon like C:\WINNT\SYSTEM32\TWEAKUI.CPL,3

3. Logoff and log back on. My Computer will be invisible.

NOTE: See How can I remove 'My Computer', and other CLSIDs from the desktop, and 'My Computer' from the Start menu?