Hi, Ratines, and welcome to the Community,
You would need to send a private message to one of the Moderation Team members stating your request. Posting privileges would be revoked (the account banned).
Outdated information! Please see the post, below.
However, posts would be left in place, as explained in our Community Guidelines
Adding a post to older threads (topics) provides yet another opportunity to let you know that yes, we can now close our own Skype Community accounts if we wish.
Click on your community profile name.
Click on Settings.
Click on the first "tab," Personal, which is a drop-down menu.
Select Close Account.