Can a worshiper lead women in prayer despite feeling deficient in performing the Fajr prayer on time, even though he memorizes the Qur'an and prays in the mosque?

To overcome laziness in obeying Allah, you must strengthen your faith by frequently reading the Qur'an with contemplation, and by abundantly remembering Allah with a present heart, and by supplicating at times when prayers are answered. Furthermore, Fajr prayer in congregation has a great reward. The Prophet, peace and blessings be upon him, said: "Whoever prays Fajr is under the protection of Allah," and "No prayer is heavier upon the hypocrites than the Fajr and 'Isha' prayers." You must take the necessary means to wake up, such as an alarm clock or a request for someone to wake you. Your feeling of shortcoming in Fajr prayer does not prevent you from leading your mother and sister in prayer.