Organizing and accessing contact information in Outlook.com
Currently, Microsoft only provides forum support to help their free customers, for account related issues see the new secure online forms here
Unfortunately there is no "live", email, chat, or "phone" support for Live.com, or Outlook.com
This problem is on instagram's side and there is literally nothing we can do to help.
People with other accounts than Hotmail or Outlook.com are experiencing the same problem. Gmail is, Yahoo is, and Facebook is!!!!!
You can check this link where it is Facebookhttps://www.facebook.com/help/community/question/?id=10201162002272665
To contact Instagram http://help.instagram.com/
It is a good idea to do the following
Make sure they arent in your blocked senders list by going to the gear on the right>options>preventing junk mail>blocked senders
Add ******@mail.instagram.com in safe senders list
Create email rule to move email from ******@mail.instagram.com to inbox