Car runs hot when idling - 2002 Oldsmobile Silhouette

Make sure the electric cooling fan(s) for the radiator are working.
TEST- anytime the air conditioning compressor kicks in, so should the cooling fans. Locate the a/c compressor on the engine, it's belt driven. Start the car and with the engine running observe the face of the belt pully on the compressor while an assistant turns on the a/c in the car (defrost feature on your heater control will also cycle on the compressor). You'll be looking to see that the front of the compressor pully starts spinning when the a/c or defrost is engaged. When that pully starts spinning the radiator fans are supposed turn on at the same time. If you see the compressor engage but the fan doesn't you have a blown cooing fan fuse, bad fan motor or a bad fan motor relay. If there is something wrong that your compressor isn't engaging in a/c or defrost and the fuses are ok, you're going to have to check the fan motor and relay by different means. You can disconnect the wiring plug to the fan motor. This is where you see if you can spin the fan blades by hand. It should spin very easily. If it is hard to spin or is siezed up, you found the problem. If the blades spin easily- direct jump current to the fan motor off the battery. If the fan doesn't work, replace it. If the fan works, check the relay. Locate the fan relay and look for another relay in the panel that is EXACTLY like it. WE WANT- another relay that is exactly the same BUT NOT critical for engine or a/c operation. We also want to know that whatever feature this candidate relay supplies power to is verified as functional. Swap the relays. If the fan still doesn't engage, check the function that you borrowed the relay from and verify THAT works with your original a/c relay in it. If you lost that function, try the proceedure with a 3rd relay if possible. Again check and recheck functions you borrowed the relay from. If you still get nothing, put the relays back to original placement. If you still are getting nothing from the fan and the other 2 functions, then the panel is toasting relays and you need either run the problem down or get the car into a professional. Now- if the fan won't engage but the other functions that you borrowed relay(s) from are still operational, we're going to give the relays a passing grade and it would seem you've got an electrical issue that, again, you need to run down or defer your efforts to a professional. Good luck on your endeavor.