WOODRUFF: Her father, Ziauddin, an activist and school teacher, was targeted for death. Soon, his only daughter would be, too. She doesn't remember the man with a gun boarding her school bus, but she described what her friends sitting next to her told her in this interview with Diane Sawyer. M. YOUSAFZAI: He said, you were just holding my hand and you just squeezed my hand like you were just forcing it. And you said nothing. And she said, like you just look at -- looked at the man like this. And then she said like, then he fired three -- three bullets and one hit you on the left side of my head. And it hit me like this. So I hide my face, because there was gun powder on my finger.
WOODRUFF: The alleged shooter, Atta Ullah, was never arrested. As word spread that Malala was alive, her survival became the ultimate defiance.
(on camera): Malala has become a hero. She has now triggered a huge movement around the world. She gets letters from children.
UNIDENTIFIED FEMALE: Malala is incredible.
WOODRUFF: They have made videos for her.
WOODRUFF: Did you ever imagine that there would be this kind of reaction to what happened to her?
ZIAUDDIN YOUSAFZAI: I think Malala is an inspiration for the children all over the world. Every girl is like Malala Yousafzai.
WOODRUFF (voice-over): But not every girl would risk her life to take on the extremists who tried to kill her.
SHIZA SHAHID, EXECUTIVE DIRECTOR, THE MALALA FUND: I was with her only a couple of days after the incident. And I asked her, what do you want to do?
And she said, I want to continue doing the work that I'm doing.
And I said, sweetheart, you need to rest right now.
And she said, but I'm OK and I'm going to be OK and there is many, many more people that I need to help.
WOODRUFF: She could have disappeared. She could have silenced herself. This is pretty courageous of her, to do this kind of work.
SHAHID: She will not back down until she thinks every child has the right to go to school.
(BEGIN VIDEO CLIP FROM JULY 12, 2013)
M. YOUSAFZAI: I'm here to speak up for the right of education of every child.
(END VIDEO CLIP)
WOODRUFF: So on her 16th birthday, the bravest girl in the world took to the stage at the United Nations, an emotional moment for her proud parents.
M. YOUSAFZAI: They thought that the bullet would silence us. But they failed. The terrorists thought that they would change my aims and stop my ambitions. But nothing changed in my life, except this. Weakness, fear and hopelessness died. Strength, power and courage was born.
WOODRUFF: The little girl from Swat has become a symbol for a cause much larger than herself.
Z. YOUSAFZAI: Her life is a miracle. Her standing up again with her full stature is a miracle. And the way she spoke, I think it was amazing. And now, I'm not the only person who own her as a daughter. She's owned by everybody.
WOODRUFF (on camera): She's the daughter of the world?
Z. YOUSAFZAI: She's the daughter of the world. And she wants an education for everybody, especially for the daughters and sons of Taliban.
WOODRUFF (voice-over): But on the one year anniversary of Malala's attack, the Taliban said they would target her again.
M. YOUSAFZAI: I think life is always dangerous. Some people get afraid of it and people don't go forward. And now I know that you must not be afraid of it and you must move forward.