It is as simple as creating a link from you website to your Story.

Once that's done the Google crawlers will be able to link your Story to your website. Of course the more backlinks you create to your Story the better it will rank.
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So let's link our Stories!

Here are an example how Tappable did it.

We've embedded the Story in the website. It looks great on desktop and mobile.

I hope this can inspire you to do the same!

You can also ask search engines not to track your Story.

We're written an article about unlisting your Story right here.