Coronavirus disease 2019 or COVID-19 is a zoonosis, which means a disease that contaminates from the animals to the humans. Since it is very highly epizootic, it has forced the public health experts to implement smartphone-based applications to trace its swift transmission trajectory as well as the affected individuals. For this, the individuals’ personally identifiable information is utilized. Nonetheless, these information may hamper privacy and cyber security, especially the trust concerns, if not handled properly. If the issues are not resolved at this very moment, the consequences will induce the mass level population to use the health-related applications in their smartphones inadequately. Therefore, a catastrophe will be imminent for another COVID-19-like zoonosis to come. So, to mitigate, an extensive study was required to address this severe issue, namely, trust concern. This paper has studied the needed by discussing the recently designed and developed health-related applications region by region across the world. Moreover, it has analyzed the benefits and drawbacks. The trust defiance is recognized and inspected from the perspective of an end-user. Some recommendations are advised in the later part of this paper to leverage and collaborate the awareness campaign between the Government, the App Developers and the common individuals.