Thank you for your question and I understand your concern. In order for the heating element to heat and in order for the timer to advance, both must have 220 volts supplied to them. The dryer will run if it looses the line two (L2) voltage supply but it will not heat nor will the timer advance. Based on your symptom and details the dryer is not getting the proper voltage or the Motor centrifugal switch is not closing 2M to 1M in order to complete the L2 voltage to the heater and timer. The heating element and the timer both need 220-230 volts in order to heat and to advance the timer. I added an image below of the heater circuit and timer circuit so that you can see the L2 circuit to both.
The first thing that should be check and confirmed is the voltage supply where it connects to the back of the dryer. The voltage supply must measure 220-230 volts when measuring across the two outside terminals. If it does not measure 220-230 volts, check for a tripped circuit breaker dedicated for the dryer inside your house circuit breaker box.
NOTE: I do not recommend checking voltage unless you have experience and feel safe and confident in doing so, otherwise I recommend calling a service technician to diagnose and repair your dryer.
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