Here are your parts includes a wiring diagram.
Replacement parts for MAYTAG PYE2300AYW Dryer - Ele | AppliancePartsPros.com

I am assuming nothing else happens all you hear is the timer.
Is the unit set at timed dry or auto.

If in auto set it to timed dry.
Now do you hear the timer.
If not you may have a power problem.
In auto modes the timer motor gets it's power from the 240 volts, in timed dry it gets power directly from half the line, 120 volts.
Could be you are missing the Neutral.

First try flipping the breaker off/on slowly a couple times. Sometimes you can loose half the line without actually tripping the breaker.
If this does nothing.
Measure the voltage at the plug
L1 to L2 should be 240 volts
L1 to Neutral and L2 to Neutral, both should be 120 volts.
If OK
Unplug the unit and check the wires at the unit's terminal strip to ensure they are properly connected and none of them have burned off
If OK
Plug the unit in and check the voltage at the terminal strip. This is just in case you have a bad line cord.

Be careful 240 volts is lethal.