Is he sinful who did not wake his mother for Fajr prayer five minutes before sunrise, fearing she would miss the prayer time?

Five minutes are usually enough for ablution and catching the prayer, unless the mother is sick and slow in her movements. One can hasten the prayer in a way that does not compromise tranquility. The sleeping person must be woken up for prayer when time is short. Some scholars have even made this obligatory, as the impediment for a sleeping person is quickly removed, and they are like someone who is heedless, and alerting the heedless is obligatory. It is more appropriate to wake the mother so she can initiate what she is able to do, in accordance with the Almighty's saying: "So fear Allah as much as you are able."