Become a MacRumors Supporter for $50/year with no ads, ability to filter front page stories, and private forums.
No can do. A decent workaround is sign in permanently to the Hotmail site and then create a bookmark on your desktop/dock/whatever - that way when you click on it you'll go directly to your inbox without wasting time logging in.
 
Register on MacRumors! This sidebar will go away, and you'll see fewer ads.