The windshield wiper fluid is not pumping and the motor is not making any sound. Is there a fuse for the pump or is the pump dead?

Hard to say what's wrong without testing thing's . Is there B+ voltage to the wiper switch ? B + voltage to the wiper motor ? Do you know how to use a voltmeter ? How to test electrical circuits ?
Here is a factory service manual list of componets involved .
Wiper/Washer System Components
The Wiper/Washer System consists of the following electrical components:
• Accessory relay
• Heated washer nozzles w/XA7
• WASH NOZ 10A fuse
• Windshield washer fluid level switch
• Windshield washer pump motor
• Windshield wiper motor
• Windshield wiper motor module
• Windshield wiper/washer switch
• Wiper/washer switch 10A fuse
• Wiper motor 30A fuse

Do you know how the wipers work ?
Windshield Wiper Motor Wiring Tutorial
Wipers Inoperative - All Modes ?????
Wiper Motor Switch Troubleshooting

Your hoses could be frozen if its cold where you are. Check the hoses for cracks. You might find fluid in your engine compartment if you have a broken hose. Listen to hear if the motor is pumping. There should be some sound either a click or a whiz sound when you push the washer button. If you hear no sound then check the wires on the pump. If they look good you probably need to replace the pump.

1. check your windshield washer fluid level.
2. make sure you can hear the fluid pump operating when you operate the switch.
3. If you can hear the pump working and you have fluid in the reservoir but still no spray,
   
4. check the washer fluid lines don't have holes and aren't clogged or pinched. check the sprayer nozzles make sure they are not clogged with debris.
5. if your washer still doesn't work your fluid pump is probably the problem.
   

does the washer pump work.

Is your wiper fluid level good?Look for leaks at pump,it's connected to container,also check your hoses leaving pump to windshield,could be loose or binding.

Sometimes disconnecting the battery does more damage then you want it might have trip a fuse or relay check those if thats not it, maybe wiper motor or transmission went out.

We would have no way of knowing that

You would though

Check the fuse,I would say the pump
failed.

Get it at the dealers parts counter

The most common problem I find in this season, is having summer 32 deg. F freezing windshield wiper fluid in the tank rather than -20 deg. F freezing windshield wiper fluid.

Try to warm up the car by parking it in a heated garage until the windshield wiper fluid thaws. Then, try to use it all up, and add the 'winter' vs. the 'summer' formula of windshield wiper fluid.

If this does not solve the problem, the pump might be burnt out, in my experience.

You should hear a humming sound as you depress the button for windshield wiper fluid inside of the car.

Good luck on this repair.

1) Fluid resevoir is empty
2) Fluid is frozen
3) Washer fluid hose is disconnected, blocked or kinked
4) Washer switch is faulty
5) Washer pump motor is defective
6) Washer pump fuse is blown

There may be problem with the motor on the windshield washer pump. there may also be an additional fuse on the power line leading to the pump.