Several of the Google results for ‘how to delete Skype account’ suggest that you can’t literally delete any Skype account once created. However it really bothers me that more than one account under one email address would definitely confuse people who have searched for you and are trying to figure out which one is the regular account of yours. Half of the chance is that he or she would end up with the wrong one.
So how can you delete extra Skype accounts so that you have only one user account under your email address?
The answer is you can’t. But you can change the registered email address of the extra accounts. Just sign in to your Skype account and go to https://secure.skype.com/account/personal/change-email to perform the change. After the change, people will see no more unwanted accounts under the original email. Problem solved.
..It says here the whole procedure to clear your profile in searches, the cancellation itself however does not seem possible..
http://www.tecnics.it/en/news/v_guides-and-insights/internet/skype/delete-a-skype-account