place a shortcut to it in your startup folder in the start menu, check the properties of the shortcut and have it start minimized. I believe there is an option in OL 2003 to have it minize to the tray, otherwize there is a regedit that can be done.
Since Outlook 2003 already has the option to min to tray you could add a new task in task scheduler pointing to the exe and set it to run at logon or at system startup. May have to adjust options about how long task runs in setting for the task but this should do what you want.
Hey, since when did Hotmail stop allowing users to use Outlook to access e-mail? It was working two days ago, and when it stopped, I went on their web site and saw the thing about them not allowing Outlook users access without being paid. What's the deal?