I have a FLIR Infrared camera. I used it on a residential doorbell that was hot to the touch. It reads between 122 to 130 degrees. Is this a problem? Should the home owner be concerned? Thank you

The chime or the pushbutton? Some older chime models have 18-24 VAC transformer in them. It is probably the transformer wirings. Newer ones sometimes tap off the thermostat windings on the transformer or are wireless. Illuminated pushbuttons probably get that hot.