A hearing aid comprising a BTE hearing aid housing configured to be worn behind the pinna of a user, at least one BTE sound input transducer accommodated in the BTE hearing aid housing and comprising at least one BTE microphone (14, 16, 14-1,..., 14-M), each of which is configured for conversion of acoustic sound into a respective audio signal (33, 35, 33-1,..., 33-M), an ITE microphone housing configured to be positioned in the outer ear of the user for fastening and retaining, in its intended position, at least one ITE microphone (26, 26-1,..., 26-N) accommodated in the ITE microphone housing, each of which is configured for conversion of acoustic sound into a respective audio signal (31, 31-1,..., 31-N), a processor configured to generate a hearing loss compensated output signal, an output transducer for conversion of the hearing loss compensated output signal to an auditory output signal that can be received by the human auditory system, an adaptive feedback canceller for feedback suppression and having an input connected to an output of the processor for reception of the hearing loss compensated output signal, at least one output (76-1,..., 76-M) modelling the feedback path from the output of the output transducer to the respective at least one BTE microphone and connected to a subtractor (80-1,..., 80-M) for subtraction of the at least one output from the output of the respective at least one BTE microphone and outputting the difference to the respective at least one adaptive cue filter (42, 44, 42-1,..., 42-M), characterIzed in that the hearing aid further comprises at least one adaptive cue filter (42, 44, 42-1,..., 42-M), each of which having an input that is provided with an output signal from a respective one of the at least one BTE sound input transducer, and the filter coefficients of which are adapted so that the difference between an output of the at least one ITE microphone and a combined output of the at least one adaptive cue filter is reduced, wherein the processor is configured to generate the hearing loss compensated output signal based on a combination of the filtered audio signals output by the at least one cue filter, and a feedback and cue controller with inputs connected to the at least one output of the adaptive feedback canceller and the output of the at least one adaptive cue filter (42, 44, 42-1,..., 42-M), and configured to control the at least one adaptive cue filter (42, 44, 42-1,..., 42-M) so that the difference between the output of the at least one ITE microphone (26, 26-1,..., 26-N) and the combined output of the at least one adaptive cue filter (42, 44, 42-1,..., 42-M) is reduced and so that feedback is reduced. an input connected to an output of the processor for reception of the hearing loss compensated output signal, at least one output (76-1,..., 76-M) modelling the feedback path from the output of the output transducer to the respective at least one BTE microphone and connected to a subtractor (80-1,..., 80-M) for subtraction of the at least one output from the output of the respective at least one BTE microphone and outputting the difference to the respective at least one adaptive cue filter (42, 44, 42-1,..., 42-M), an input that is provided with an output signal from a respective one of the at least one BTE sound input transducer, and the filter coefficients of which are adapted so that the difference between an output of the at least one ITE microphone and a combined output of the at least one adaptive cue filter is reduced,