Do you mean take attach the clip to where the wire was on before , and then take the other end of the alligator clip and attach it to the car? Sorry, I am confused. I am only 15 and this is the first car I've worked on
Yes, here's the deal.......
Your starter relay.......
First thing you want to try is get the car safely in neutral, and then take a screwdriver or other metallic object, and jumper across the two large exposed terminals. The starter SHOULD operate and crank the engine.
If that works..........
Look at the two terminals on the left in the photo, are "push on" terminals. These terminals are the magneticl coil which operates the relay.
One of them comes from the ignition switch and provides power when the key is twisted to "start"
The second one leads down to the transmission, and connects to the center terminal of the neutral safety switch, which is supposed to be GROUND when in park or neutral
So what you are trying to do is narrow down, whether it's wiring or neutral switch, or the relay, or the wiring from the ignition switch, or the ignition switch itself.
SO
Identify the wire going to the transmission. You should be able to visually follow this down to a small harness going "below" to the transmission.
Disconnect that WIRE from the relay and lay it aside.
Take your alligator lead, and connect to that relay terminal which you just now disconnected. Hook your jumper wire to a GROUND
Now, twist the key and see if it cranks
IF IT DOES, then you can work with that later, at least it now cranks.
============================================
IF IT does NOT, then further:
Might not be getting power from the ign switch
might be the relay is bad
Next, take a multimeter or 12V test lamp. LEAVE the alligator clip in place to ground.
Hook your meter or test lamp to the remaining push on terminal, leaving it connected. That is probe right into the connector. Have someone twist the key. The lamp should light, and or you should show 12V on your meter.
If you do...........bad relay
If you do not........
Either your bypass (I understand you "did") at the reset button is not working, or you have problems say, in the bulkhead connector (firewall connector) or the ignition switch connector or the switch