The broken sensor in your picture looks like the vacuum thermostat for the EGR system. If the sensor were intact, it would have two metal ports in a Y shape. One side would be fed from supply and the other go to the EGR. When temp makes the wax melt, vacuum is allowed to flow.

If the EGR is deleted, no need to replace the switch. EGR bypass/deletes all remove the lines on that switch...

That's my somewhat educated answer anyway.