There is no special privilege for journalists. You cannot be compelled to testify either. The only thing special here is that some nutty judge thinks he can force a journalist to explain something she reported, how she got the information, etc. They are doing it to try to hide government shennanigans.
This is classic 1st amendment.
You can be compelled to testify, unless doing so would incriminate you. I imagine the law has standards for what sort of information qualifies. There’s always an argument to be made, however. Revealing a source wouldn’t seem to tend to do so, but you never know.
This is more interesting than a 1st Amendment case. The information came from a lawman, supposedly. How did the law get patient-doctor information? Did the state, either the law or the university, coerce the doctor to turn private communications over, or did the doctor breach her confidentiality agreement? How much did she tell the university to get this guy suspended from school?
How private is the doctor-patient relationship nowadays?
No, there are special laws giving journalists special privileges. And the media goes crazy.