Giving one's wife the choice does not count as a divorce, unless it is intended as such
حَدَّثَنَا يَحْيَى بْنُ يَحْيَى التَّمِيمِيُّ، أَخْبَرَنَا عَبْثَرٌ، عَنْ إِسْمَاعِيلَ بْنِ أَبِي خَالِدٍ، عَنِ الشَّعْبِيِّ، عَنْ مَسْرُوقٍ، قَالَ قَالَتْ عَائِشَةُ قَدْ خَيَّرَنَا رَسُولُ اللَّهِ صلى الله عليه وسلم فَلَمْ نَعُدَّهُ طَلاَقًا .
'A'isha reported: Allah's Messenger (ﷺ) gave us the option (to get divorce) but we did not deem it as divorce.