I found this in the Rashi on Ki Seitzei (Deuteronomy 22:16):
And the girl’s father shall say [to the elders]: [The father, but not the mother.] This teaches us that a woman is not permitted to speak in the presence of her husband [when others are present]. — [Sifrei 22:91] ואמר אבי הנערה: מלמד שאין רשות לאשה לדבר בפני האיש:
I had never heard of this idea in Jewish law. Does such a halacha exist, and what is its status today? I am most interested in sources which discuss whether and to what extent this particular detail must actually be observed in our era.