Installing WeMo Wi-Fi Dimmer Switch - Lights not turning on
From your drawing you essentially have it wired “backwards” or at best you are “switching” the fridge. Where is the light you are trying to switch in that drawing. 

Line = power coming in
Load = power going out to the device you want to control. 

The switch is in between, either connecting or interrupting the flow, therefore, turning on or off the device. 

Not sure what the tan box in your drawing between the line wire and fridge represents. It would be unusual for there to be a switch for the fridge. If you are representing that you have “tapped” into that wire to gain power (line) then the load wire from the Wemo needs to connected to the wire that goes to the light you want to control