As the Near Me widget is currently implemented, you must manually draw a feature (point/line/polygon) to define the area for analysis. Please add the option to select a feature from one of the map layers and use that shape to define the area for analysis. This option should also apply to selecting a feature from a layer imported using the Add Data widget as well.
It seems counter productive to important a dataset that defines an area of interest, only to have to manually trace it using the sketch tool in order to run the analysis. Just allow me to select the feature and get going.