The desktop.ini file normally has the System, Hidden and Read-only attributes assigned. So they should not be showing on the Desktop unless the following option has been disabled in the Folder Options:
Hide protected operating system files (Recommended)
a. Open Windows Explorer.
b. click Organize, click Folder and Search Options.
c. Select the View tab.
d. Place a checkmark on ‘Hide protected operating system files (Recommended)’.
The desktop.ini files should no longer be visible on the Desktop.