In one embodiment, a method comprises: receiving, by a secure executable container executed by an endpoint device, a request from an originating entity for initiating a secure peer-to-peer communication with a second network entity via a secure data network, the originating entity and second network entity having established a two-way trusted relationship in the secure data network; processing, by the secure executable container, the request based on providing the originating entity sole and exclusive authority to control the secure peer-to-peer communication, including cryptographically secure termination and removal of the secure peer-to-peer communication from any network device in the secure data network; and initiating, by the secure executable container, the secure peer-to-peer communication by securely sending, to the second network entity via the secure data network, a secure peer-to-peer invitation for the second network entity to join the secure peer-to-peer communication.