The simplest way to fix the issue of your hotmail not working is, removing the account to add it again. Following are the steps:
• Launch the outlook app.
• Then, go to File and select account settings.
• Now, select manage profiles and click on Email Accounts.
• From here, select your Hotmail account and tap on remove.
• Once done, go back to the outlook app and select the File.
• Tap on Add account and enter your account credentials.