Does Message allow me to ensure I am talking to a particular person?

Message:

You point your finger toward a creature within range and whisper a message. The target (and only the target) hears the message and can reply in a whisper that only you can hear.

You can cast this spell through solid objects if you are familiar with the target and know it is beyond the barrier. Magical silence, 1 foot of stone, 1 inch of common metal, a thin sheet of lead, or 3 feet of wood blocks the spell. The spell doesn’t have to follow a straight line and can travel freely around corners or through openings.

Alice casts Message towards a creature. She believes that creature to be her friend Bob.

The creature is, however, actually the villainous Eve merely disguised as Bob. Can Alice preclude Eve from hearing the Message?