A Trusted Third Party (TTP) has been employed in many distributed applications to provide various services such as security and reliability. This paper presents an insight into distributing the trust among a set of hosts supporting distributed applications. It critically analyses the current work and suggests perspective solutions to the problem exhibited by using a single TTP, i.e. performance and security bottlenecks, in providing trust services in general and in Agent-based Threshold Proxy Sigcryption (ATPS) protocol proposed in [A Secure Method for Signature Delegation to Mobile Agents] in specific.