The transition of your email from the Yahoo platform to BT Mail, other than a very short overnight interruption to each email account as it was migrated, should be seamless.
At worst, it may be necessary to remove an email account from your iPad (or other devices) - and re-add the account using the guided “Wizard” account setup (using “other” as the provider). Recreating the account on your iPad will ensure that both your incoming (IMAP) and outgoing (SMTP) server settings and credentials are correctly setup.
If you continue to experience difficulties, you might be best advised to contact BT Support.
Setting aside the actual email setup, it may be worthwhile restarting your HomeHub router. It is possible that your WiFi router is unexpectedly blocking access to some internet/server resources - which might be resolved by a router restart.
To restart you home router, disconnect power - then wait at least 30 seconds before restarting. When you router has rebooted (which may take several minutes), force-restart your iPad:
- On an iPad with a Home button: Press and hold the top button and the Home button at the same time. When the Apple logo appears, release both buttons.
- On an iPad with Face ID: Press and quickly release the volume up button, press and quickly release the volume down button, then press and hold the top button. When the Apple logo appears, release the button.
It is also possible that your currently selected DNS servers(s) are not resolving, or a blocking, some resource addresses. Changing your DNS Server IP Addresses might resolve this problem.
For recommended DNS servers (configured at your home router and/or your iPad), you might choose one of the following highly regarded Recursive DNS Providers (IPv4 and IPv6 addresses included below). Where your local network is dual-stack, you should enter both the IPv4 and IPv6 redundant server addresses.
Quad9
9.9.9.9
149.112.112.112
2620:fe::fe
2620:fe::9
OpenDNS
208.67.222.222
208.67.220.220
2620:0:ccc::2
2620:0:ccd::2
Cloudflare+APNIC
1.1.1.1
1.0.0.1
2606:4700:4700::1111
2606:4700:4700::1001
A standard domestic BT HomeHub typically impedes setting your chosen DNS provider (forcing use of BT’s servers), but there is nothing that prevents setup of more appropriate/efficient/secure DNS server settings on your devices.