This was the problem. It wasn't me; it was them. Microsoft said the following here:
https://portal.office.com/servicestatus

**Update:**
Since then, all the test emails I had sent to myself, which weren't delivered, have been delivered, so it seems like Hotmail/Outlook is working again.
```
Title: Emails aren't delivered to recipients

User Impact: Users can send email but the messages aren't being delivered to the recipient.

Current status: We've developed and successfully tested a fix that will address the issue. We're now in the process of applying the fix to restore email delivery.

Start time: Saturday, October 3, 2020, at 7:00 PM UTC

Next update by: Sunday, October 4, 2020, at 10:00 PM UTC
```



![enter image description here](https://i.sstatic.net/FOFQz.jpg)