Outlook.com is Microsoft's free email service available for everyone to use



From WPCentral:

The service enables you to create a free email alias for use around the web and beyond, but it was also possible to add your own domain (example being forename@surname.com). This option was removed and Microsoft has recently sent out an email to remind consumers that if they already have a custom domain configured, they'll no longer be able to manage that domain and its accounts. The only possible solution is to upgrade to the Office 365 business subscriptions. Luckily, they're giving away a free 90-day trial of the Office suite, but there is a way to remain on Outlook.com with your unique email domain if you don't need to add and/or remove new accounts.

  Microsoft to finally remove custom domain management on Outlook.com