Gifting the Holy Quran to a non-Muslim
If one is sure that the non-Muslim will respect the Holy Quran and not disrespect it in any way, then the Holy Quran can be gifted to them. At the same time, they should be informed that they should read it after bathing and purifying themselves.
As given in Fatawa A’alamgiri:
قَالَ أَبُو حَنِيفَةَ رَحِمَهُ اللَّهُ تَعَالَى : أُعَلِّمُ النَّصْرَانِيَّ الْفِقْهَ وَالْقُرْآنَ لَعَلَّهُ يَهْتَدِي ، وَلَا يَمَسُّ الْمُصْحَفَ ، وَإِنْ اغْتَسَلَ ثُمَّ مَسَّ لَا بَأْسَ ، كَذَا فِي الْمُلْتَقَطِ
Translation: Imam Abu Hanifa (May Allah shower His mercy on him) said: I consider teaching the Holy Quran to Christians and Jews as permissible. It may be that they accept the guidance. However they shouldn’t touch the Holy Quran. If they touch it after bathing, then there is no problem.
From this we know that it is permissible to teach the Holy Quran to non-Muslims and if there is a danger of disrespect of the Holy Quran, then a copy of the Holy Quran shouldn’t be gifted to them as the respect of the Holy Quran should be maintained at all times.