A personal mobile device receives a session-request message requesting establishment an encrypted-audio session with a call-initiating device. In response, one or more call-response inquiries are presented via a user interface of the mobile device. The one or more call-response inquiries include an accessory-status inquiry with respect to an accessory to the mobile device. The mobile device receives, via the user interface, an accessory-unready indication with respect to the accessory, which is associated with the presented accessory-status inquiry. In response to receiving the accessory-unready indication, the mobile device establishes a communication link with the call-initiating device and refrains from exchanging audio data with the call-initiating device via the established communication link. The mobile device makes an accessory-ready determination and responsively establishes the encrypted-audio session at least in part by receiving encrypted-audio data from the accessory and forwarding, via the established communication link, the encrypted-audio data to the call-initiating device.