Unless you are a politician, powerful CEO, or another controversial person, most interviewers for podcast, video interviews, TV interviews, conference panels probably want you to shine on stage. She is likely a media pro, you are not appearing on screen every day.
A good interviewer has a little chat with you before the show, gets a quick ideas of the interesting points you can share with the audience, and then will proceed to give you the best possible setup question to tell your story.
In this friendly environment, you can patiently wait for the question to finish, and deliver the punch line that you might have practiced before (practice it a lot in order to be spontaneous). No need to jump in early, deviate from the question, or be surprised because you did not see the question coming and need to think about the answer after you started answering the question.
In some sales or investor pitches, the role of this friendly interviewer might be the person you convinced of your story, and now needs to sell it to her superiors. Help her out if you can.