A case study is very common and gives a great deal of information about the medical side of what someone has gone through, without identifying them. https://en.wikipedia.org/wiki/Case_study
Assume just for this answer that she's not an institution conducting a case study, but an individual conducting a TV interview. Tell me what evidence she sends to the station that substantiates the story but does not violate HIPAA.
I can't go up to someone and be like "Alice Rosenstein has cervical cancer, sorry if that's an uncomfortable truth, but the law wasn't written to protect your feelings." That would, in fact, be a HIPAA violation.
HIPAA is a US law that's focused on protecting the privacy of a person's medical history. In SQL terms you can't JOIN a person's identity with their medical history (unless explicitly authorized). However aggregated data is allowed, as long as it can't be easily reverse-engineered.