Sending, receiving, and organizing email in Outlook.com
I had the same problem as you and I thought I was stuck forever, but my gosh. I took the suggestion of SueNield who replied to you and tried logging in using my iphone. Amazing it worked! I have no idea why hotmail disappeared on my computer and only outlook pops up but on my iphone I can log in normally. It's been a few years since I logged in and I thought it's lost forever but no it's still there on my iphone. Strange.