Digital health (eHealth) represents the future of the healthcare sector. Although the digitalization of services and processes related to the health sphere has been coveted for a long time, the emergency caused by COVID-19 has marked a turning point in this sense. The fifth generation (5G) network paradigms are good candidates to meet some of the current requirements of eHealth services, however, researchers are already projected towards sixth generation (6G) and are working on proposals on how breakthrough trends and technologies can improve performance in health data communication and processing. It is worth emphasizing that, in the management of such sensitive data, security and trustworthiness of devices involved in the network cannot in any way be underestimated. On the basis of these considerations, this paper proposes an innovative trust model for the selection of the Internet of Medical Things (IoMT) devices responsible for transmitting health data. The data possibly detected and transmitted by medical sensors often includes multimedia data, such as the lung sound detected on a remotely monitored patient with COVID-19. This paper also provides a collection of works of literature that propose trust-based solutions for the security of eHealth services in order to illustrate the current state of the art in which the proposed model fits.