Hi there Emmanuel. Thanks for posting the info we need. After reviewing them, it appears that Hotmail’s anti-spam filters are rejecting the messages. I've forwarded this to our Windows Live Hotmail Sender Support Team and they’ll contact you on how to get this issue fixed.
BTW, to accelerate the resolution of the issue you may want to visit http://postmaster.live.com and review our policies and guidelines. I also suggest that you post your contact e-mail address here.