Posted 25 November 2015 - 02:36 PM
There should be no problem doing it as far as I know.
Go to the Settings app. Then go to "Mail, Contacts, Calendars" in the Settings app. You should see a list of all your email accounts. At the bottom of that list, there should be a "button" that says "Add Account". From there, you basically follow the instructions on the screen (should be the same steps you did to setup your Hotmail/Outlook account).
If you want to keep things a bit "separate", then the other option is to download the free Microsoft Outlook app from the App Store. Then you can set up one account in the Outlook app and the other in Apple Mail app.