It depends on how you configure your account with your mobile phone. If you set it using the POP3 settings, there’s a big chance that you won’t be able to read it using your computer. Please note that when you access your messages using the POP3 setting, it moves your messages from the Windows Live Hotmail e-mail server to your mobile. Once downloaded, the e-mail messages will no longer show up on the Windows Live Hotmail Web interface. In order to view the messages in your computer, you need to enable the “Leave a copy of the message on the server” option. For instruction on how to enable this, please get in touch with the Microsoft Mobile Support Group.
To contact them, please refer to the link below:
https://support.live.com/eform.aspx?productKey=wlmobile&ct=eformts
BTW, I've moved your post here at the DAV Migration Forum.