This is Max from the Shopify Team.
Could you let us know what you mean by the small icon? Perhaps a screenshot of what you're seeing would help us better understand. I searched your shop name from Google on my phone and am not sure what you meant.
Hope to hear from you soon.
Google is testing favicons in search results. You can change your favicon in your theme to update it. How this is done varies for every theme, but usually it will be in the "Customizing" section of your theme.
For more info on this search engine result feature, see https://www.seroundtable.com/google-favicons-in-search-results-snippets-26517.html
Thanks for the image, Tepparit, and that added context, Joshua!
I think that this help doc might also be of use here - Adding a favicon to your store.
These icons are great for a bit of added trust and a more professional look to your site, and now your search results!