Do women with boyfriends/husbands have more societal power/better reputation than single women, and does his infidelity ruin her reputation?

Sometimes I see really opinionated, strong women, and wonder if they would suddenly become more passive and honest if their boyfriends/husbands cheated on them.

Do women with boyfriends/husbands have more societal power/better reputation than single women, and does his infidelity ruin her reputation?
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