The spread of COVID-19 has encouraged the practice of using video conferencing for family doctor appointments. Existing applications and devices face challenges in capturing the correct view of patients' bodies and supporting ease of use. We created Dr.’s Eye, a video conferencing prototype to support varying types of body exams in home settings. An exploratory study was conducted with patients in mock appointments to explore the use of our video system. Results show the benefits of providing more flexibility with a decoupled camera and display, and privacy protection by limiting the camera view. Yet, challenges remain in maneuvering two devices, presenting feedback of the camera view, coordinating camera work between the doctor and patient, and coping with discomfort in showing private body regions. This inspires future research on how to design a video system for doctor appointments.