I've just come up with one thought
If we explain how to get listed as a featured shop we should explain how to get de-listed from there.
OK, here it is:
In order to get de-listed from the "Featured X-Cart/LiteCommerce shops" you need to post a sales ticket (goes free of charge absolutely) into your HelpDesk account with request like
"I want you to de-list my <here goes URL to your web-site> web shop from the "Featured shops" section on your <x-cart OR litecommerce> web-site".
You'll be contacted by someone from our staff after that and so on.