We will need more information before we can help you troubleshoot your problem.
Two minutes is a LONG time. Are you sure it's not only 10 or 15 seconds? The system will wait a few seconds after starting the engine to allow oil pressure to come up before loading the engine with the compressor.
Does the compressor engage? Does it blow cold after the time delay? Does it blow at all after the time delay? Is the center button on the climate control pressed and the fan in automatic mode? Is the temp wheel on a setting that will require a/c? Does it blow cold ever? Is the sight glass showing clear?