Email forwarders send a copy of emails and keep an original. You can setup multiple forwarders to and/or from the same account.
Note: If you send email from Gmail to an email address which forwards back to the same Gmail account, then Gmail will not receive that forward. (Hit Director is the same way.)
How can I stop my Hit Director email from keeping a copy?
You must delete the mailbox from Email Accounts, and only keep the forwarder. This way the email will still forward, but the emails will not be saved at the first address.
How do I delete the mailbox from my email accounts?
Can I have all the outgoing email forwarded to my email address?
No, this can only be done on a dedicated server.
Yes you can. Please see the How to create/delete an E-Mail forwarder knowlegebase article