Explanation

The issue is originating from your web host / CMS - Gixxy. This conclusion is based on several tests we've done: on the app itself and the 4 major CMS (Joomla, WordPress.com, Weebly, and New Google Sites).

Embedded app disappears in Gixxy when a search term cannot be found.

As you can see on the screencast below, the Table app remains intact (on the 4 major CMS tested) even if there's no entry found. The problem only happens when the app is embedded in Gixxy.

Recommendation

You can reach out directly to the Gixxy Support team to have this issue investigated. 
You can use other CMS or website builders as an alternative.

Demonstration of a working app when embedded in Joomla, WordPress, Weebly, & New Google Sites.