Is it permissible to listen to Umm Kulthum's songs to improve one's psychological state and overcome psychological fatigue, for someone unable to walk, knowing that he also listens to the Holy Quran?

The basic ruling is that listening to music is forbidden and impermissible. The comfort you feel when listening to such songs may be a deception from Satan, making disobedience seem appealing. Seek help from Allah and abandon forbidden music. For you, disciplined anasheed (Islamic chants) are a permissible alternative.