Maytag Dryer quit running

If your not a handyperson, this could be expensive...
a)  you didn't tell us if this is a newer electronically controlled dryer, or just the old reliable type...  newer types, in my opinion, will generally have more controls fail than the older types, but sometimes something on the older types fail also...  to replace the newer stuff will cost lots -- cheaper to buy an ol' reliable...
b)  besides checking the lint trap, you should periodically inspect the outside vent to make sure the airflow is good...  also, it's always a good thing to take apart the dyer every now and then and clean it out if the dryer has run a lot... in most cases, the dryer would be replaced before it really needs to be cleaned out (I kept mine for many, many years)
c)  in the dryer heater duct, there are a number of safety switches -- if for any reason, the dyer air should over heat, it shuts down the dryer -- some are resettable, some are the replaceable type, but both types will be used; unfortunately, even if a resettable switch operates, the replaceable will almost always operate...
d)  since it appears nothing works, I suspect the heating element is still probably good, but...
e) if the breaker was not tripped, then the motor is probably OK...
f)  I'm not sure, it's been awhile since I've had my dryer torn apart, but I think it will also shutdown if the drum drive belt breaks...
My suggestion is to call a trustworthy repairman, determine the potential costs up front and then decide whether to replace or repair... or call a trusted friend to fix it if they have the knowhow...