You provided no information about your sound detector, but if it is what I am imagining that it is, then put the comparator between the digital output of the sensor and the LED and resistor. In other words, have the sensor drive the comparator have the comparator drive the LED.
That way the comparator decides when the LED turns on at any sound level and hysteresis you want, whereas before the LED would only turn on when the volume produced sufficient power to directly drive the LED.