In the evolving landscape of digital healthcare, patient portals serve as critical conduits for asynchronous communication, yet their inboxes often overwhelm clinicians with unstructured messages, risking delays in urgent care. This conceptual manuscript introduces the urgency-risk orchestration network (URON), a theoretical framework designed to stratify message urgency, automate routing, and delineate duty-of-care boundaries within electronic health record (EHR) ecosystems. Drawing on principles from clinical AI architectures and healthcare analytics, URON integrates multi-layered intelligence for real-time triage, leveraging risk stratification algorithms to prioritize messages based on semantic urgency cues, patient history integration, and ethical governance constraints. The framework emphasizes interoperability with existing decision support pipelines, ensuring seamless workflow integration while mitigating biases in AI-driven routing. By establishing clear boundaries for clinician intervention, URON aims to reduce cognitive load and enhance patient safety without empirical validation. Theoretical implications include improved resource allocation in ambulatory settings and proactive monitoring of system drift. This work synthesizes recent literature on AI governance and EHR intelligence, proposing a scalable infrastructure that balances automation with human oversight. Ultimately, URON provides a blueprint for intelligent patient portal management, fostering equitable and efficient healthcare delivery.