Trustworthy path routing plays a pivotal role in safeguarding the security, reliability, and efficiency of network services. This paper undertakes a comprehensive review and in-depth analysis of standardization efforts and existing literature related to trustworthy path routing. It delves into key concepts, prevalent challenges, and proposed solutions, showcasing the diverse array of trust metrics and models that have been formulated and integrated into routing protocols to bolster network security and reliability. By synthesizing the latest research trends and highlighting the existing gaps, this paper aims to offer valuable insights into the contemporary landscape of trustworthy path routing and identify potential avenues for future research endeavors, thereby contributing to the ongoing advancement of network security paradigms.