Are you presently a BT Broadband customer or are you paying for your email through a BT Premium email account?
How do you normally access your email account. Is it by using a web browser (web mail) or are you using an email client /app?
What happens when you do try and log on?
If you use a web browser have you tried clearing the browser's history and cookies?
Have you tried logging onto your email account using the "Email" button at the top of this page.