Are you using the Mail app that comes with Windows 10 ?
If yes, your contact list ( People ) is at All Apps, under alphabet P.
However, why don't you just go to google search, type Hotmail > click Sign In > you will have your Outlook.com on screen > right click inside the window > click Create shortcut > click Yes.
You now have your outlook.com shortcut at your desktop.
Don't bother to use that silly Mail app. It's the worst.