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 (definition) (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 (definition): "Whenever an matter distressed him, he would hasten to prayer," it is a good (hasan (definition)) 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 (definition).