How do I stop an alias/linked email account forwarding messages on to my main Windows Live account? I keep getting emails twice, once in my linked, then again in my main!

Back when Hotmail changed I moved my Hotmail account to Windows Live,  which I love.  I had my Googlemail account linked to my Hotmail, and so now in Windows Live I have both in the left hand pane - great.  However, since moving to Windows Live, every time I get an email to my linked Googlemail account, it then forwards it to my Hotmail, meaning I'm constantly getting two notifications for each mail! I want to stop the 'email forwarding' while keeping my Googlemail linked, so I only get one notification for each Googlemail email, rather than one after the other.  I've checked my actual Googlemail account and I have no email forwarding set up.

Please could someone help!?