mail error - p37-imap.mail.me.com timed out.

Hello manxman111,

We see you're having issues accessing your email on the Mac, and we'd be happy to help.

To start, this page here helps to cover various issues with the Mail app: Troubleshoot email problems in Mail on Mac

If you're using any VPNs, or security/networking-based apps, try temporarily uninstalling these, and then try again.

Similarly, if you're able to try connecting the Mac to a different internet connection, try that out as well. This helps to rule out any issues related to the current one between the app and the connection.

Cheers.

While in Apple Mail >> Preferences >> Mail Servers and check if there is an old, outdated or conflicting no longer uses Server listed

System Status

Yes, and from time to time even Apple Mail Servers or Services are malfunctioning or off line.

Good work and Bravo :-))

The oldest trick in the book still works !