If the dryer won't start, the options are usually thermal fuse, door switch, or push-to-start switch. The door switch you can push with your finger to hear if it is clicking, but to check the others, it is best to use a multimeter and verify voltage in and out of each component. If you have access to the meter, I can give you some things to check and save this machine from an early retirement.

If I were playing the odds, I would say your thermal fuse () has failed. Disconnect the dryer from power and remove the rear panel. In the middle toward the bottom is a white thermal fuse (see photo at part link above) that has two wires connected to it. Remove both wires and temporarily slide the ends of the connectors together on edge and make sure they are not near any metal. Plug the unit back in and see if it starts. If so, then there is your problem. Only do this to test and never run an entire load (or several) with this safety component removed. If that doesn't get you going, let us know and we will move on to the next item.

Then like a suggested in the first post, check the door switch and make sure it actuates with a click. The other items will require a multimeter to check for voltage, so if you have one handy, now is the time to get it and check for voltage to ground at the thermal fuse. And while your at it, check for voltage at the terminal block (where the power comes in) between black and white, red and white, and then black to red. Knowing these voltages will rule out another problem.

If you have nothing at either side of the fuse when measured to ground, then the timer is not working. Remove the control panel access and check the wiring on the timer. There should be 120vac at the black wire and with a cycles selected, 120vac at the blue wire leading to the thermal fuse. If voltage goes in but not out, the timer is bad.

Got 121 at black and blue on timer as well as 1 side of fuse.