The oil filter on a 2003 Oldsmobile Alero is located on the
bottom of the engine, towards the passenger side (right side if you're facing the engine). It's relatively easy to access. However, the exact position might vary slightly depending on the engine (2.2L or 3.4L). It's generally fairly close to the oil drain plug.
Because of slight variations and potential for misidentification, it is strongly recommended to consult your owner's manual for a precise diagram and location. The manual will provide the clearest picture for your specific vehicle.