Elementor Widgets

I will be quick on this. Elementor Free only has access to what are installed as widgets. Out of the box it has access to Basic. Social Icons is not one of them.

List of Free widgets in Elememtor Free

It also has access to the widgets under the heading called General. This contains the social icons widget that elementor supports.

If you did not select the widget that your saying is broken under those headings of Basic or General then the issue is not elementor but the plug in  or theme that is providing the widget.

This are the widgets that pro provides if your broken social icons is not one of these widgets marked in a red box then the problem lies with the plug in or theme that is providing the widget.

Elementor pro social widgets