Hello Blue Skies,
Sorry, but we can only update to IE10 from Windows Update or the standalone .exe like in the tutorial.
You normally should be able to right click on the pinned IE10 icon on the taskbar, and click on Unpin this program from taskbar
like below to remove it from the taskbar.
If not, then you could use the tutorial below to reset and clear all pinned programs off the taskbar, but you'll have to manually pin any programs you want back afterwards.
Taskbar Pinned Items - Reset and Clear in Windows 7
Hope this helps,