I would not recommend uninstalling internet explorer as it appears to be an integrated part of Windows .
I have uninstalled the IE10 update that took place in April 2013 which then automatically replaced it with IE9.
You need to go to installed updates and find IE10 then click uninstall. IE9 will then be installed.
Remember in updates to uncheck the 1E10 which will reappear and hide it. This will stop it reinstalling.
My Chrome browser is still installed and being used
You can now check in the Internet Explorer File/uncheck offline that you are now on line.
Presume you have some of these running:
IE10/Windows Live Mail Issue 2009 or 2012 /Windows 7 Home Premium/maybe Chrome or another browser.
Changing your router will have taken you offline and you will need to re establish your internet connection before attempting above and remember to uncheck the "offline" status in Internet Explorer10 File/uncheck offline
If you wish to stay with IE10 remember that anytime you go offline you will need to reset it in the IE10/File. However going to IE9 presents no issues. Also you can use a Chrome or other browser without complications
Let me know what happened or what programmes you are running.
Robin