Visual inspection of the thermal fuse in this dryer will not normally indicate that it is good. Here is a link for a Repair Clinic.com video that shows how to check that component using a volt/ohm meter:
Thermal Fuse Testing
. You can also tape the wires together that go to the thermal fuse (with the dryer still unplugged) to bypass it. Reassemble the dryer and see if the dryer will heat with this fuse bypassed. (Be sure that you open the gas supply shut-off valve.) If it does then replacing the thermal fuse will fix your dryer heating problem. You can order a thermal fuse (part number 3392519) from the
website. NOTE: Check the exhaust vent duct system for a clog or restriction as recommended in the above video if the thermal fuse was blown. Also, do not continue to run the dryer with this fuse bypassed. It is an important safety component that must be replaced to operate the dryer.
If the thermal fuse is okay, you could have a problem with one of the thermostats in the dryer circuit. I provided a wiring diagram for your dryer in the image below. The heating circuit is traced in red. This wiring diagram shows that the operating thermostat or the high limit thermostat could also prevent the dryer from heating. I recommend that you check those components the same way that the thermal fuse was tested.
If those components are okay, you could have a problem with the gas valve assembly. The theory of operation for the gas valve assembly is shown in the second image below. I recommend that you reassemble the dryer and pull the observation plug in the lower front panel of the dryer. Make sure that you open the gas supply cut-off valve. Start the dryer in a heated cycle and see if the igniter glows to begin the ignition process. If the igniter glows and then fades out to light the burner but it does not ignite, then you could have bad gas valve coils (kit part 279834).
The timer not running in the auto cycle is not unusual since the dryer is not heating. See if the timer advances in the timed cycle. If it does, then that component is likely okay.
These tips should help you properly diagnose and repair your dryer. If you need more assistance, reply with additional details.
If you do not feel confident repairing this problem yourself, then you can have it repaired at your home by a Sears technician. Here is a link for the website:
Sears Home Services