Earlier quoted context omitted.
"The judge said she will remain jailed until she testifies or until the grand jury concludes its work." Wow. Not even some specific number of months or anything. Appears not as a punishment but a blackmail. (edit: yes I miss the right word for this is, there is certainly a better one, I'd be happy to read a better one; edit2: right, extortion, thanks).
What happened to that whole fifth amendment thing?
Hence the immunity.
“But the Fifth Amendment doesn’t provide an absolute right to remain silent and not answer any questions. Rather, it protects people from having to answer incriminating questions about themselves.”
https://www.nolo.com/legal-encyclopedia/immunity-exchange-te...