Hi Pierre,
Welcome to the Microsoft Office for IT Professionals Outlook forum. This forum is for general questions related to Outlook client.
Does this issue occurs to hotmail account configured in Outlook? If this is the case, please try checking if any rules was set to move all mails to deleted folder.
If you are referring to hotmail.com account on the web, it is encouraged to post a new thread to the following answers forum for outlook.com for better response:
https://answers.microsoft.com/en-us/outlook_com/forum
The reason why we recommend posting appropriately is you will get the most qualified pool of respondents, and other partners who read the forums regularly can either share their knowledge or learn from your interaction with us. Thank you for your understanding.
Feel free to post back if I have misunderstood anything.
Regards,
Yuki Sun
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