If a woman engages in consensual sex, feels remorse for her actions but does not express them to her partner?
The key words here are "Engaged in Consensual Sex." The man in this case did not force, threaten, or even assault the woman into having sex. Did not impair with drugs or alcohol or...
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You may need to compromise some on this. It's obvious your level of desire and his are different. Get some books and see if there are other ways to satisfy your needs with him that will be less of a strain on him.