How do you access your email account, is it via a web browser (webmail) or using an email client/app?
What and how many devices do you use to access your email?
As regards your problem it is possibly a BT server problem and the best advice when it happens is to do nothing, especially do not change passwords or delete the account as that can cause more problems than it solves.
The first thing to do when it happens is check to see if you can log on to your email account via a web browser. If you can there is obviously nothing wrong with your password or account hence the advice to do nothing.
If the problem did not resolve its self after a day or two or in your instance where you have changed the password or deleted the email account from your device you should stop your device and any other devices from checking for email from that email account. The easiest way of doing that is to turn them off if you still have the account on your device. If you have deleted the account and it is no longer on your device do not try and add it at this time.
Once you have done that, change your email password and check that you can access your email via webmail (on a browser).
If that works you should wait at least an hour and then add the new password to your device and check it works. If it does then move onto the next device if you have one.
If you use an Apple device to access your email, when you change your BT password on an iPhone/iPad/Apple device it may only change for INCOMING mail.
To change the OUTGOING mail password you have to go into Settings; then scroll down to Passwords & Accounts or on older devices Mail, Contacts, Calendars. From there select the BT email account and select the account where it is listed under IMAP.
You will find the details for the account and can change the password for the Incoming server there, the outgoing mail server only shows SMTP and mail.btinternet.com You have to tap on that Primary Server in order to find where the Outgoing password is hidden so you can update it.
When setting up the email account on your device you are best to set it up manually, using "other" and ensure that you are using the correct settings as per this link.
https://www.bt.com/help/email/manage-email-account/manual-settings/what-are-the-settings-for-outgoin....
