How to wire a 5V 6-pin relay switching 110V AC @ ~35 W
As I read the datasheet, the two terminals on the left are connected together, and aare the common terminal (moving contact) of a single-pole, double throw switch. The top right is the Normally Open (NO) contact - with the relay not energized, it is not connected to anything.  The bottom right terminal is the Normally Closed (NC) contact.  With the relay not energized it is connected to the two left terminals.

When you energize the relay, the top right terminal will be connected to the two left terminals, and the bottom right terminal will have no connection.

Given that description, your drawing doesn't make sense - you seem to be applying 110 VAC between the NO and NC terminals.