Welcome to the forum.
Does the noise occur
1) only happen before the engine starts turning,
2) when the engine is actually cranking over, or
3) is it happening after the engine has fired and you're giving it a quick rev?
If 1), it's probably the starter gear which might be fixed by replacing or reconditioning the starter motor. There may be some damage to the teeth on the flywheel.
If 2), it could be belts, alternator bearings, idler pulley bearings if the noise is coming from the front of the engine. If it's coming from underneath the car, it could be low auto gearbox oil which has cause some damage to the torque converter, or worse something inside the gearbox. It might also be damage caused by coolant/water mixing in the auto transmission fluid via the cooler (if it has one like the later model cars that sits in the bottom of the radiator).
If 3), it could be the turbocharger. Clean the hosing around the turbo inlet (cold engine please) then start the car, let it warm up a little (about 2-3 minutes at idle will do). Carefully remove the hose from the intake of the turbocharger and make absolutely sure that you don't let any dirt enter. Now give the fan inside a spin, it should start smoothly and continue for a couple of moments with no sign of jerking or roughness. The shaft should not wobble in any direction. If it's the turbocharger, do NOT operate the car any more until it's replaced - if the turbocharger compressor (spinning at 100,000rpm) breaks apart, it will detonate and send shards into the engine, destroying the engine.
Another possible cause if 3) is a boost leak. Look for signs of oil seeping out of the intake hose between the turbocharger and the intake manifold. If you spot any blackish oil (which is from your PCV, fit a catch can) then there's either a split/crack in the hose, or the hose clamp is either too loose or too tight (pinching).
I hope it's nothing too dramatic!