Brooke Nevils , the former NBC talent assistant whose accusations against then- Today anchor Matt Lauer led to his exit from the network , struggled through tears in her first television appearance on CNN this week to discuss what happened and the book she published earlier this year about her experience with the disgraced journalist. Nevils spoke with CNN anchor Pamela Brown about her book, Unspeakable Things: Silence, Shame, and the Stories We Choose to Believe , in a Thursday interview. The book recounts four sexual encounters over several years while she was working under Lauer at NBC, where she served as an assistant to Meredith Vieira, his Today co-host at the time. The memoir also includes interviews with psychologists and other experts who discuss sexual assault and why victims often blame themselves.…