A headset comprising: an electro-acoustic input transducer arranged to pick up an acoustic signal and convert the acoustic signal to an electric signal (x); a transmitter; a voice activity detector; a first processor coupled to receive the electric signal (x) and to generate an output signal (y) to the transmitter in response to a control signal from the voice activity detector; wherein, based on processing a portion of the electric signal (x), the voice activity detector is configured to: detect proximal voice activity, distal voice activity and no voice activity, at times when respectively present in the acoustic signal picked up by the electro-acoustic transducer, and to select a respective mode, the selection of which is indicated in the control signal; wherein the first processor is controlled by the voice activity detector to reduce, by filtering, in the output signal, intelligibility of distal voice activity at least at portions of time periods when the control signal indicates the mode of presence of distal voice activity; a delay coupled to delay the electric signal at a signal processing stage before the filtering to reduce intelligibility of distal voice activity wherein the delay is controllable via a delay control signal to delay the electric signal by a first delay time or to forgo delay of the electric signal by the first delay time; wherein the voice activity detector is configured to detect proximal voice activity, distal voice activity and no voice activity based on the electric signal before the delay; and wherein the voice activity detector is configured to generate the delay control signal to delay the electric signal by the first delay time at times when the control signal indicates selection of a mode corresponding to presence of distal voice activity, and to forgo delaying of the electric signal by the first delay time in response to detection of continued failure to detect distal voice activity over a first period of time and/or in response to continued detection of proximal voice activity over a second period of time. an electro-acoustic input transducer arranged to pick up an acoustic signal and convert the acoustic signal to an electric signal (x); a transmitter; a voice activity detector; a first processor coupled to receive the electric signal (x) and to generate an output signal (y) to the transmitter in response to a control signal from the voice activity detector; wherein, based on processing a portion of the electric signal (x), the voice activity detector is configured to: detect proximal voice activity, distal voice activity and no voice activity, at times when respectively present in the acoustic signal picked up by the electro-acoustic transducer, and to select a respective mode, the selection of which is indicated in the control signal; wherein the first processor is controlled by the voice activity detector to reduce, by filtering, in the output signal, intelligibility of distal voice activity at least at portions of time periods when the control signal indicates the mode of presence of distal voice activity; a delay coupled to delay the electric signal at a signal processing stage before the filtering to reduce intelligibility of distal voice activity wherein the delay is controllable via a delay control signal to delay the electric signal by a first delay time or to forgo delay of the electric signal by the first delay time; wherein the voice activity detector is configured to detect proximal voice activity, distal voice activity and no voice activity based on the electric signal before the delay; and wherein the voice activity detector is configured to generate the delay control signal to delay the electric signal by the first delay time at times when the control signal indicates selection of a mode corresponding to presence of distal voice activity, and to forgo delaying of the electric signal by the first delay time in response to detection of continued failure to detect distal voice activity over a first period of time and/or in response to continued detection of proximal voice activity over a second period of time.