This is the icon for letting me know that there is "Document's Pending", NOT the MAIN icon. There is no documents pending & it's still there.
Give this a try:
Right click the empty space in the Task Bar, then select “Properties.”
On the main page of the properties.. select “Customize” on the bottom of the screen. On this new screen locate the listing for your printer and click on it.
Now you can set the icon to be “Always Hidden” “Always Show” or “Hide when Inactive.”
It sounds like you have it set to “Always Show.”