Is continuing a marriage solely for the sake of the family sufficient and will Allah reward one for it, or is divorce the ideal solution in cases of a lack of feelings towards the spouse and a rejection of the marital relationship and procreation?

A woman is not permitted to seek divorce without a compelling reason. The husband mentioned in the question is righteous and treats her well. Love is not the basis for a successful marriage; rather, it is living together according to Islam and good lineage. A woman is permitted to lie to her husband to sow the seeds of love. She must allow him access to herself if he calls her to bed. The wife should fear Allah concerning her husband and her home, and she should know that her husband is either her Paradise or her Hellfire. It is recommended to pray, supplicate, recite remembrances (dhikr), and read Surat Al-Baqarah.