The wireless communication between a transmitter and a group of nodes, such as a control center interacting with several drones engaged in a specific mission, may be vulnerable to malicious eavesdropping attacks. Cons of traditional communication protocol aimed to maximize total secrecy rate is that might lead to neglecting communication with some nodes, and, to failure of nodes’ mission. To deal with such cons we suggest a maximizing minimal secrecy rate protocol, or, in other words, a guaranteed (expected) secrecy rate protocol. The problem is modeled and solved in a (Bayesian) game-theoretical framework between a transmitter and an adversary. We prove that such protocol supports uninterrupted communication and maintains its stability even if the transmitter has incomplete information on what type of antenna (directional or omni-directional) the adversary has. Finally, an approach to solve an adversary dilemma of which of the antennas to engage is suggested and illustrated.