How can one reconcile the non-existence of a prayer called "Salat al-Hajah" (Prayer of Need) with the Hadith "Whenever a matter troubled him, he would resort to prayer" and the verse "And seek help through patience and prayer"?

Salat al-Hajah (the Prayer of Need) has not been authentically reported from the Prophet, peace be upon him, and the narrations concerning it are very weak. As for the hadith: "Whenever an matter distressed him, he would hasten to prayer," it is a good (hasan) hadith, and it means that when a Muslim is afflicted by worry or an important matter, he should resort to prayer in general, whether it be a

an obligatory prayer or a supererogatory one, without specifying a particular supplication or a special description for the prayer. Seeking help through patience and prayer has been mentioned in the Holy Quran and the authentic Sunnah.