If Chrome is opening instead of IE when you click on the IE icon then Chrome has somehow been set as the default browser, to change this follow the steps suggested by Microsoft below;
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Swipe in from the right edge of the screen, then tap Search.
(If you're using a mouse, point to the bottom-right corner of the screen, move the mouse pointer up, then click Search.) -
Enter Default programs, then tap or click Default Programs.
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Tap or click Set your default programs.
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Select Internet Explorer from the list of programs.
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Tap or click Set this program as default, then tap or click OK.
You might need to repin Internet Explorer to the Start screen once you've set it as your default browser.