You can choose to forward email from your Wesleyan account to a non-Wesleyan account. When you do this, messages are not delivered to your Wesleyan Inbox. They are passed through to your destination account.
Alumni from 2008 and earlier
Alumni from 2008 and earlier can forward their email using WesNet (Resources → E-mail Forwarding). You can use this form to activate, change, or delete a forwarding instruction.
Alumni from 2009 and later
See instructions on How to forward your Wesleyan Gmail account to a different email address on the ITS Google Apps blog.