The same thing happened to me on 17th July, with a hotmail.co.uk account, sending several emails to a btinternet.com address. I am using a new Outlook account for this reply and with that I can send emails to the same address that the hotmail account cannot.
Until 16th July everything was working fine. I have been able to send emails to any other mail providers, but not btinternet.com addresses, using the hotmail.co.uk account. I can still receive emails from the btinternet,com address, but I cannot reply
to those emails.
The hotmail postmaster notification can take a few seconds or up to 5 minutes to come back, but it always just informs me that delivery to the following recipients failed. I gave up on BT as an ISP before broadband and also gave up on my current ISP email
system years ago, due to major unreliability issues, but I have not previously experienced this level of stupidity contacting an email address I have been communicating with for many years.
It appears from the collective wisdom in the other replies and comments here that the problem is with BT, but given that there are many other forums like this reporting similar issues reaching btinternet.com addresses, going back over many years, it doesn't
look like BT are learning from their mistakes.