With EmbedStories you can fetch and display your Instagram Stories on any website.
But assuming that you have tons of stories posted each day, and you don't want some of these stories to show on your website, in this case, you can moderate them out.
With the Moderation feature you have an option to choose which stories you want to show on your website.
Here are the steps on how to do this.
Click on the top Moderate tab and uncheck the stories that you want to exclude from the widget on your website.
Once you are finished make sure to click Save on the top right corner button.