I think the DT had no clue about the interview and were really, really ticked off. I believe they have asked to withdraw from the case. JA threw a huge hissy fit. There was a rumored loud argument the day of the verdict, it makes sense.
Furthermore, I believe she is really ticked that Sheriff Joe threw her in the crazy bin because of the words in the interview. The convicted killer did not expect that..remember, she chose her suicide words very carefully on prior occasions to avoid being on suicide watch.
Also, I believe she absolutely does not want to hear from the family, she wants the last word, trashing Travis. But, it's not going to happen. JSS is going to make her sit there and hear from the true victims, the family of Travis Alexander.