Store Locator Template 1 has the categories icon in the listing to show the assigned categories to that template.
The Store Locator template customization is in the ASL Settings, in order to remove the categories icon/images from Template 1, please follow the steps below.
1- Go to the ASL Settings in the WP Admin Panel, and select the Customizer Tab.
2- Select Template 1 and click on the Load Template button.
3- Once the template is loaded search for the text below and remove the selected lines and save it.