Security constraints that enforce security requirements characterize healthcare systems. These constraints have a substantial impact on the resiliency of the final system. Security requirements modelling approaches allow the prevention of cyber incidents; however, the focus to date has been on prevention rather than resiliency. Resiliency extends into the detection, mitigation and recovery after security violations. In this paper, we propose an enhanced at a conceptual level that attempts to align cybersecurity with resiliency. It does so by extending the Secure Tropos cybersecurity modelling language to include resiliency. The proposed conceptual model examines resiliency from three viewpoints, namely the security requirements, the healthcare context and its implementational capability. We present an overview of our conceptual model of a cyber resiliency language and discuss a case study to attest the healthcare context in our approach.