If anyone else comes across this thread in the future and just wants to uninstall a single add-on in Kodi, leaving the others in place, please follow these steps:
Open Kodi and look for a System menu to click on (if you can't find one, your current skin may label the shortcut "Settings").
Add-ons
My Add-ons (or Enabled Add-ons on older Kodi/XBMC installs)
Click on the add-on area that corresponds to the add-on in question (if you can't find something in Video Add-ons, look in the Program add-ons section)
Click on the add-on you want to remove
Select uninstall or disable