She needs to sue them. They will probably settle.
I don't think she has much of a case. "discredited" is a subjective term. I am sure that her story has been "discredited" is some people's mind. Andrea Mitchell probably "discredits" it, although she knows it is true. In Andrea Mitchell's Orwellian universe, a thing can be both "discredited" (not discussed by the right people) and factually true.
IIRC, Zimmerman sued NBC for the ‘editing’ of the 911 call....and lost (travesty of Justice; about as ‘unexpected’ as the monthly unemployment numbers).
I’d doubt this flea-bite of an ‘edit’ would far any better.