Using a PNP instead of an NPN in a circuit
Even the NPN transistor is going to have problems driving a regular LED. The LM741 is capable of supplying up to about +8V from a +10V supply and this will create a voltage of about +7V on the anode of the LED. The cathode of the LED is connected to -10V and this will burn and fry a regular LED. You probably need a current limit resistor unless the LED you are using already has one BUT, you haven't told us and it is perfectly reasonable to assume it hasn't (given that most LEDs will fry with more than 3V across them).

Now to the PNP version and I can only assume you had the emitter connected to +10V BUT even if you didn't and it was the collector connected to +10V you might easily pull too much current through the base (via collector or emitter connected to +10V) and destroy the transistor. You said it worked once but you haven't said that it never worked again even after a power cycle so I'm assuming you have killed it with too much base current.