Tremor is the most common movement disorder and a prevalent symptom of neurodegenerative conditions such as Parkinson's disease (PD). Given the limitations of medication, which may not effectively treat tremor, and the limited availability of surgical treatments such as deep brain stimulation, there is a pressing clinical need for non-invasive therapeutic alternatives, including peripheral electrical stimulation. The high variability of PD tremor poses a challenge to such therapies and calls for patient-specific stimulation parameters. This study presents the design and validation of an adaptable algorithm for online tracking of Parkinsonian rest tremor phase, integrated into a wrist-worn system for use in triggering phase-specific peripheral electrical stimulation, delivered non-invasively to a nerve in the wrist. The system dynamically adapts to tremor variability, including shifts in the axis of maximum excursion and changes in center frequency. Validation was first performed offline, followed by online tests with a vibration plate providing stable frequencies, trials involving a healthy experimenter emulating tremor in different orientations while wearing the device, and evaluations with three individuals with PD. Results show accurate and robust phase estimation accounting for changes in tremor dominant axis and center frequency, underscoring the system's adaptability. This work provides a robust platform for research and a foundation for developing personalized, non-invasive tremor management strategies.