What needs repaired from your car if there is loud noises coming from the engine every time you hit the gas pedal?

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2004 Infiniti I35 Service Repair Manual INSTANT DOWNLOAD

run the fault codes
the noise may be detonation from incorrect air /fuel ratio ( oxygen sensors failed ) or from incorrect ignition timing ( problem position sensors or ignition control module

You shouldn't have to pump the gas for a fuel injected vehicle to start. Where is the very loud noise coming from? If it's from the gas tank, then it very well could be the fuel pump beginning to fail. Sometimes you get no warning. You just get stranded. A mechanic would likely check your fuel pressure with a gauge.

Without a general description of what the noice sounds like, squeal as compared to knocking, it is impossible to help you. Engines make a lot of different noises, so try and help by describing noise. I would suspect it is belt related, or tension pulley related as these are RPM variable noises, belts tend to slip when you accelerate and can be quite loud with a serpentine belt as example.
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check your fan clutch

Listen to the engine, if the noise is down low it is rod if it is up high it is valves. IF it is rod knock it will eventually throw the rod.

Possible slip in timing chain.

What you are describing sounds like you have an engine bearing failing. Do not drive it 'till you have it diagnosed and repaired (most times though it's too late when you hear it.)..... Outside chance it could be the trans flex plate but I doubt it.

Replace the IAC valve.