Do recurring nightmares after Fajr prayer, which only occur upon waking for the prayer, necessitate stopping the Fajr prayer or continuing while playing the Quran?

These nightmares are from Satan, and to get rid of them, you must obey Allah, frequently remember Him, and recite the Quran, especially Al-Fatiha, Ayah Al-Kursi, and the two Mu'awwidhatain. Avoid sins, for Allah the Almighty says: ﴾And whoever turns away from My remembrance - indeed, he will have a difficult life.﴿ What you see in terms of dreams after prayer is a deception from Satan to make you believe that prayer is the cause of them. So, hasten to pray on time, and if you can avoid sleeping in the morning, then do so and occupy yourself with reading the Quran and morning remembrances. Pray two rak'ahs after the sun has risen, and adhere to the remembrance before sleep.