So after stripping my 04 gto down to bare bones the fuel pump no longer turns on

I have power to the relay,I havev tested ( it is fine ) the relay and replaced it to be sure, yet when I bridge the power circuit under the relay the pump turns on, the ecm relay also works fine, im stuck and need the car to move soon, I only need it to go as far as it rakes me to drive on to a trailer and back off

im stuck on this and my understanding of electricity normally ends up in me calling it magic and passing the job to someone else

 

In the trunk, right side of fuel tank, purple wire. Put power on it and it will run