Alice wants to talk with Bob, but wishes to ensure that an eavesdropper Eve cannot even reliably estimate whether or not communication is happening (deniability), leave alone guess her message (hidability/secrecy). Also, we want Alice's communication to Bob to be robust against channel noise, and any jamming by Eve (reliability). To simultaneously achieve these goals, we discuss two models: 1. Channel asymmetry: Alice can "whisper very softly", and if the channel to Bob is "better" than the channel to Eve, we derive bounds on the rate region for some channels by showing that there are codes Alice can use, that are indistinguishable from noise for Eve. 2. Pretending innocence: If an innocent Alice is allowed to speak, we use network asymmetries to transmit covertly. Who's yo' daddy, NSA?