What is a street offer? For a missionary it is initiating contact with a potential investigator. It is identifying if the gentleman walking across the street wants to hear the gospel of Jesus Christ, or not.
For a member of the church, it’s being asked what church you attend or a general question about your membership.
An offer means you are offering another person the opportunity to have something. For example, if I were a Chiropractor I would answer the question about what I do for a living as follows: