Quoting solution which worked also for me from http://daggle.com/gmail-error-0x800ccc7d-in-outlook-2003-59
[I just simply had to toggle off the SSL secure mail off outgoing message option, start outlook, exit, then turn back on that setting.]
Excerpted text follows…
I may be sticking with Gmail, but will Gmail stick with me? Today, one of those dreaded Outlook error messages appeared:
Task ‘pop.gmail.com – Sending’ reported error (0x800CCC7D) : ‘Your outgoing (SMTP) server does not support SSL-secured connections. If SSL-secured connections have worked in the past, contact your server administrator or Internet service provider (ISP).’
Gmail does support SSL connections. In fact, that’s what it tells you to use. It worked fine yesterday and all this week. Today, I can download just fine. I can even send a test email using Outlook’s own connection verification system just fine. So what’s the problem with sending a regular message out?
Over at Lockergnome, it was suggested to increase the timeout to 2 minutes. Did it, didn’t work.
Time to get more drastic. Another suggestion was to delete my Outlook 2003 account settings and set them back up again (instructions here). There’s absolutely no reason I should have to do this, since all my settings were fine. But I did it anyway. And it worked.
Hope it does for you, if you’re having similar problems.