How to make my application render on a DNS entry that my network administrator has created?

How to make my application render on a DNS name that my network administrator has created?

Let me say that I have very little knowledge of the IIS, so I guess I need a tutorial for this task.

I have deployed an MVC 4 application to ISS on Windows Server 2012, it renders on this URL:

http://MyAppName.MyDomainName.dk/MyAppName/

In the ISS Manager I can see it here (I haven't really configured anything).:
Sites -> Default Web Site -> MyApplicationName

The network administrator in my organisation has created a DNS name, and it's rendering on:
http://MyAppName.MyDomainName.dk/
Currently this URL just shows the IIS screen: "IIS 8 - Windows Server - Internet Information Services 8.0".

I would like the root of my application to render on that DNS.
So instead of rendering on
http://MyAppName.MyDomainName.dk/MyAppName/
as I am currently doing,
I would like to render on the DNS name:
http://MyAppName.MyDomainName.dk/

Does any of you know how to change my rendering URL from:
http://MyAppName.MyDomainName.dk/MyAppName/
to the DNS name on:
http://MyAppName.MyDomainName.dk/ ?