An extended hardware security module (“HSM”) possessing additional security properties relative to conventional HSMs and methods for initializing, deploying, and managing such extended HSMs in a networked environment. In the preferred embodiment, an extended HSM includes additional hardware and software components that configure it to run sensitive client tasks on demand inside a cloud-hosted, anti-tamper HSM housing so as to ensure sensitive data is encrypted when stored or processed outside the housing. Methods for initializing, deploying, and managing provide a framework through which extended HSMs may be secured from their initial assembly through their availing for use and actual use over a network by one or more clients. Such use often entails repeated discrete sequential secure sessions and concurrent discrete secure sessions.