If you don't want a certain content or module to appear on your mobile website (and you also do not want to delete that content) the best way to do this is to hide the navigation or the content. Here's how:
1. Click the Edit button on the content module that you want to hide.
2. On the upper part where the Title field is located, check the Hide Navigation box.
3. After checking the box, click the Save button. This will hide that specific content module to in the site navigation, but still available for direct link.