Asalam Alaikum Mufti Sahab,

الجواب وبالله التوفيق
As per the description of your question and the details provided regarding the method to swear, there has been no effect on his faith or the Nikah. However, if the husband did swear falsely and that too by putting his hand on the Quran, then it is considered an action of severe audacity, recklessness and sinfulness.
It is desired from men and women to be patient during the period of trials and tribulations and Allah Subhanahu Wa Ta‘alahas promised of His blessings for people who succeed through this period. May Allah Subhanahu Wa Ta‘ala help make your married life serene and full of peace and bestow his fazalupon you aameen.
واللہ اعلم بالصواب
