Using Preset Filters as an embed-link for your CMS or website builders will not work (more about this here).
When you embed a view in a website, that embed-link cannot be pre-filtered in advance. This feature will only work if the view is pre-filtered via the URL of the page (the browser's address or omnibar).
As a workaround, you can share your Awesome Table view using a Pre-filtered URL (simply as a link for websites or emails). This way, your audience will see the subset you specified.