Your vehicle has a starter solenoid which is piggy back on the starter.
under exaust manifold on passenger side
Are you sure you pulled the right relay?
If the starter is clicking when you turn the key then the relay is not the problem, more likely is the battery and starter wire connections. Take them off and clean them before putting them back on ( have the battery checked ) corrosion will cause the symptom you described, however there should be a starter relay in the engine compartment fuse panel. If the truck is a standard transmission, it could be the Neutral safety switch, which is located under the clutch pedal. However, most likely it is the solenoid on the starter, I just had the same problem, time for a new starter.
The 02 Chevy S10 with a 4 cylinder or a 6 cylinder does not have a timing belt.
disconnect the negative battery cable then the wires from the starter. Remove the mounting bolts and drop the starter down. Try this for Chev S10 problems. Buy the Chilton General Motors publication #28860. It covers S10s 1982-93 from detailing to engine rebuilds, including changing the starter.
you have to remove the starter to replace the relay and the relay cost almost as much as the whole starter so you are better off just replacing the whole starter.
The fuel pump relay on a 1995 Chevrolet S10 pickup is located underneath the hood. The fuel relay will be inside the fuse box.
the starter relay.
The starter relay feeds power to the starter when the switch is turned to start. The relay will be mounted either on the fender or on the firewall.
3000 pounds
junk it
Should be on top of the starter - follow the + battery cable
Pull the old one out and push the new one in. Depending on what year S10 you have, they have the relay mounted in different places.
It would be found in the fuse/relay center under the hood.
AC compressor clutch relay, starter relay, high speed blower motor relay,
32 inches
Chevrolet does not use a resettable fuel relay (inertia switch), that's a Ford thing.