Adam Clarke on 1 Peter 3:1

Ye wives, be in subjection - Consider that your husband is, by God's appointment, the head and ruler of the house; do not, therefore, attempt to usurp his government; for even though he obey not the word - is not a believer in the Christian doctrine, his rule is not thereby impaired; for Christianity never alters civil relations: and your affectionate, obedient conduct will be the most likely means of convincing him of the truth of the doctrine which you have received.

Without the word - That your holy conduct may be the means of begetting in them a reverence for Christianity, the preaching of which they will not hear. See the notes on 1Cor 14:34, and the other places referred to in the margin.