I am experiencing the same problem.  I bought a new laptop, and do not want IE or Edge on my computer.  However, Quickbooks will not open without IE.  If you try to download IE from Microsoft, you get Edge, which does not help with opening Quickbooks.  Please resolve this problem soon.  I am now running my old laptop just for Quickbooks, since the new one cannot open my company files because of the browser problem.  (Please do not suggest making IE the default browser.  You can't get it anymore and no one wants it for a default.)