。
She made a point of not speaking during the meeting.
Literal
She [topic-は] meeting-during talk-not [in-the-manner-of-ように] did.
~ようにする is one of those patterns Japanese reaches for to mark deliberate effort or self-imposed practice — 'make a point of, try to.' Slip a negative inside (V-ない+ようにする) and you get the inverse: 'try not to / make sure not to.' Past form: 話さないようにした = 'made a point of not speaking.' This sentence pictures someone resolving to keep quiet through a whole meeting — possibly out of caution, possibly out of frustration, the context decides.