Here's a troubleshooting path:
1. Check the fuses: Even though you've replaced the relay, make absolutely sure the relevant fuses for the wipers are intact and not blown. Consult your owner's manual to locate the correct fuses.
2. Inspect the wiper motor linkage: Manually try to move the wiper arms. If they're stiff or seized, the motor might be struggling to overcome the resistance, causing the relay to click and overheat. Lubrication might help, but a severely seized linkage points to a more serious mechanical problem.
3. Check the wiring and connections: This is crucial. Carefully inspect all the wiring going to the wiper motor for any:
* Broken wires: Look for frayed, cut, or corroded wires.
* Loose connections: Wiggle connectors at both the motor and relay to check for poor contact. Corrosion is a common culprit here. Clean any corroded terminals with a wire brush and contact cleaner.
* Ground connection: A poor ground connection can prevent the motor from functioning correctly. Trace the ground wire from the motor and ensure it's securely connected to a clean, unpainted metal surface on the vehicle's body.
4. Test the wiper motor directly (most difficult): This requires some electrical knowledge and tools. You'll need to temporarily bypass the relay and wiring harness using jumper wires and a 12V power source (like a battery). Use caution as incorrect connections can damage the motor or other vehicle components. If the motor runs when directly powered, the problem is definitively in the wiring or relay circuit. If it doesn't, the motor is faulty.
In short: While it's *possible* the wiper motor is bad, it's more likely a wiring, connection, or linkage problem given the clicking relay. Thoroughly check the wiring and connections before assuming the motor is the culprit and spending money on a replacement. A multimeter can be helpful for verifying power and ground at the motor.