Does the judge's ruling resolve the dispute in a divorce case if the wife does not believe the judge's ruling is correct, based on her view that her husband's triple divorce does not count as a single divorce, and must she, despite that, allow him conjugal access?

A judge's ruling cannot be overturned unless it contradicts a text (from the Quran or Sunnah), a consensus (Ijma'), a clear analogical deduction (Qiyas Jali), or a general comprehensive legal principle (Qaidah Shar'iyyah Kulliyah). An ordinary person (layman) follows the one who gives him a fatwa because he is unable to examine evidence and make a preponderant choice. The divorce pronounced by a person suffering from obsessive-compulsive disorder (waswas) does not take effect, and such a person should not read about issues related to divorce, as that reinforces the waswas.