A connector system for interconnecting a hearing aid (3) with a fixture (5) anchored in a bone segment (7). An abutment (9) has a contact surface (21) with is a substantially circular surface. A connector plate (17) with a substantially circular connector contact surface (20) is in contact with the abutment contact surface (21) when the hearing aid (3) is connected to the abutment (9). The abutment (9) has a wide abutment coupling area and a narrow portion. The abutment coupling area is enclosable by coupling shoes (15). The coupling shoes (15) exert a pressure against the abutment coupling area disposed on a mantle surface (25) of the abutment. The coupling shoes are movable in a radial direction relative to the connector plate (17). The coupling area has an increasing diameter in a lateral direction (L). A coupling area (29) of the coupling shoes has an increasing diameter in the lateral direction (L) to exert a pressure on the abutment (9) against a connector contact surface when the coupling shoes (15) are pressed in the radial direction against the abutment (9).