Solution:
1. Enable Encryption in the Outlook 2003 Profile.
2. Create a GPO to enable Encryption for Outlook 2003 clients.
http://support.microsoft.com/kb/2006508
3. Disable the Encryption requirement on the Exchange 2010 server.
From PowerShell on the Exchange server: Set-RpcClientAccess -Server:ExchangeServerName -EncryptionRequired:$False