Which country is your Marketplace in? It may be that your region is not currently supported by Skype.
Pakistan is a supported region. If you go to http://windowsphone.com, sign in with your Live ID, search for Skype, and then check in your Marketplace, what is the URL that you end up at?
and after I click on the skype app I get to www.windowsphone.com/en-us/store/app/skype/c3f8e57
But it says "We cant display this page" even though I have perfect internet connection and am able to access any other website.
What is the problem now?
I really appreaciate your positive response.