Other mistake: The map behind the officer is of Southern California. The series is supposed to be set in the NY tri-state area. (00:12:45)
Other mistake: At the end of a scene showing the dog, the scene is reversed (mirror image) for a moment. (00:08:50)
Answer: Telstar was an early communications satellite system. Darrin, in a particularly sexist manner reflective of this era, is saying that telling a secret to a woman means it is guaranteed to be "broadcasted" to multiple people.
raywest ★