Be logged in and use the deletion link. This is the contact form. Fill it in to request deletion. You should identify yourself (see below), so at least use the account details as known in your account (email, username,..). Perhaps later you should identify yourself in a different manner. Some background info hereunder, from their PP:
Wen you use TVMuse.eu services, we make good faith efforts to provide you with access to your personal information and either to correct this data if it is inaccurate or to delete such data at your request if it is not otherwise required to be retained by law or for legitimate business purposes. We ask individual users to identify themselves and the information requested to be accessed, corrected or removed before processing such requests.
This site is also known as TV-Links (tv-links.eu). Additional tags for this page: delete tv-links account, cancel tv-links account, close tv-links account.
URLS:
http://www.tvmuse.eu/
http://www.tvmuse.eu/contact.html