Does God accept drawing near to Him during times of hardship with the intention of relief from distress, and not for the purpose of worship?

A Muslim must think well of Allah and be in a state between fear and hope. If a servant performs an act intending both the goodness of this world and the Hereafter, there is no harm in it. As Al-Qarafi mentioned, associating multiple intentions in an action does not invalidate it, like someone who fights for the obedience of Allah and for spoils, or fasts for healing along with the intention of fasting. This does not diminish the act of worship, but it may decrease the reward. However, sin and invalidity are out of the question.

What is blameworthy is performing a righteous deed solely for the purpose of this world, without the intention of the Hereafter, as in the Hadith: "Whoever among them performs a deed of the Hereafter for the sake of this world will have no share in the Hereafter." Or performing an act solely to alleviate distress without the intention of obeying Allah.

Drawing closer to Allah during hardship is not blameworthy; rather, it is praiseworthy. Allah has praised Himself for answering the distressed. What is blameworthy is forgetting Allah during ease after drawing closer to Him during hardship. The most perfect state is for the servant to draw closer to his Lord in hardship and ease equally. It is obligatory upon the servant to strive to correct his intention in all his deeds.