A “speaker” operating mode is established by a signal processor of a hearing aid for tracking and selecting an acoustic speaker source in an ambient sound. Electric acoustic signals are generated by the hearing aid from the ambient sound that has been picked up, from which signals an electric speaker signal is selected by the signal processor by a database of speech profiles of preferred speakers. The electric speech signal is selectively taken into account in an output sound of the hearing aid in such a way that it will for the hearing-aid wearer acoustically at least be prominent compared with another acoustic source and consequently be better perceived by the hearing-aid wearer.