I like many others including my sister have suffered and continue to suffer from Office 365 Outlook 2016 continuously displaying a pop up box requesting input of the BT email server password, as soon as the password is entered the input box reappears, and this happens no matter how often you input the password.
I've setup the BT account in Outlook as per advised in this URL
https://support.office.com/en-gb/article/POP-and-IMAP-settings-for-Outlook-Office-365-for-business-7fc677eb-2491-4cbc-8153-8e7113525f6c
I'm using Office 365 Personal.
Myself and many others have been experiencing this problem for years, all works fine for ages, then the problem returns, I've experienced this problem with Outlook 2007 and 2016, sometimes the problem lasts for only a few hours, and at others it lasts for days.
Microsoft and BT/Yahoo need to get together and sort this out once and forever.
Failing this a method of transferring email addresses from one ISP / software provider / other email service provider, needs to be put in place, similar to transferring phone numbers between suppliers.