I assume BT needs to provide Chrome with a new SSL?
The problem is that the BT site viewed on Chrome or using other web browsers seems to be creating secure connections for other users. So it's a little odd that it's not doing this for you! I'd suspect that something my have changed on your own machine/browser, and I might start with a proper reboot followed by re-installing Chrome if that doesn't work.
*Have you done anything recently that may have impacted your browser security?