Apple email will not login to a Cox email account even after numerous password resets. I've temporarily relocated from VA (where my Cox account is based) to Fl and am accessing the internet with a Century Link account.

Do you know who Cox uses for eMail?

 Mac's Mail App is not as modern as iOS's Mail app, Many eMail providers now require a separate App Password different from your eMail password…

Then you may need Ways to securely access AOL Mail…

https://help.aol.com/articles/allow-apps-that-use-less-secure-sign-in

Or it may just need an App Password separate from the gMail password…

https://support.google.com/mail/answer/185833?hl=en-GB

Note from PrestoWebDesign…

Trying to add Gmail account to Apple Mail… - Apple Community

Trying to add Gmail account to Apple Mail… - Apple Community

Yahoo has gone to this too...

https://help.yahoo.com/kb/access-yahoo-mail-third-party-apps-sln15241.html

Yahoo App password…

Generate and manage third-party app passwords

Some older, third-party email apps (that do not use our Yahoo branded sign in page) require you to enter a single password for login credentials. To access your Yahoo Mail account on these apps, you'll need to generate and use an app password. An app password is a long, randomly generated code that gives a non-Yahoo app permission to access your Yahoo account. You’ll only need to provide this code once to sign in to your third-party email app.

https://help.yahoo.com/kb/access-yahoo-mail-third-party-apps-sln15241.html

Using app passwords with apps that don't support two-step verification (microsoft.com)