An apparatus for intelligently responding when a user refuses an incoming message at a telecommunications terminal is disclosed. In the illustrative embodiments, the apparatus comprises a processor that prompts the user to optionally specify (i) one or more acceptable alternative message delivery mechanisms (e.g., email, text chat, etc.), and/or (ii) one or more alternative devices (e.g., pager, PDA, etc.) when a user refuses an incoming message. For example, a user in a noisy environment who refuses a voice telephone call might specify the following as alternative delivery mechanisms and devices: short message service (SMS) on the user's pager, text chat on the same device as the first message, and email on the user's personal digital assistant (PDA).