Sounds like the drum is jammed for some reason
It should turn clockwise, at least mine does as this is the normal rotation of the drum. The only way to find the problem is to open it up and find out what is stopping it.
Sometimes a drum seal will come apart and jam on a seam but still slide past it when the rotation is in the other direction.
Sometimes the motor's bearing support will go. When the drum is rotated in the normal direction the force of the belt pulls the armature of the motor in such a way that it jams on the motor. When rotated in the other direction the force is opposite so it does not jam. See below:
Inglis Whirlpool Kenmore motors and some common motor problems, heating up and shutting off, humming
It will not be the thermal fuse as this will kill power to the motor therfore no hum.Your circuit path is: fuse, door switch, motor, start switch then timer contacts.
The reason you check drum rotation first is to see if the drum will turn.
The motor's armature should turn when there is no power applied as should the rest of the drum drive
If it cannot then the motor will not be able to turn it.
It will sit and hum with both the start and run windings on, if run too long like this the motor will burn out and/or trip the thermal protect on the motor
Now for some theory
Your motor has two windings, a start (aux ) and a run
It takes more power to get the drum rotating from a dead stop
So the start and run windings get power
Once the drum starts rotating it take less power to keep it rotating
So there is a centrifugal switch on the motor
Once the motor reaches the proper rotation speed, this switch is activated
It switches the start winding off and continues with just the run winding
Note: There are two centrifugal switches
The other switch is for the heating element
It switches the heating element on when proper speed is met
This ensures that the heater does not come on without air flowing over it from the dryer's blower