Shetamia Taylor, who attended the march with her four sons, also thanked Dallas police for protecting her in the chaos that erupted on Thursday night. She says officers shielded her as bullets whizzed through the air around them.
"They had no regard for their own life. They stayed there with us. They surrounded my son and I," she said.
Taylor, in a wheelchair with her right leg immobilized, told a news conference at Baylor University Medical Center that she always held police officers "in a very high place" and notes that her youngest son wants to be a cop.
"I never had an issue with police officers," she said. "If anything it made my admiration for them greater."
Taylor, who is black, said she went to the march to protest the killings of black men by police in Baton Rouge, Louisiana, and outside St. Paul, Minnesota, and previous encounters between blacks and police.
She said the attack on the march in Dallas, which killed five officers, wouldn't deter her from demonstrating again. She wants her sons - ages 12, 13, 15 and 17 - to know it was an isolated incident.
"I don't want them to think that I am a quitter, because I am not," she said.
Taylor said she and her sons were getting ready to leave the march when they heard two shots and saw an officer fall.
"As he was going down, he said, 'He has a gun. Run,'" she recalled.
As they fled, she felt a bullet hit her in the back of the leg.
She said she tackled her 15-year-old son, Andrew, and "laid on top of him."
An officer then jumped on top of them. "And there was another one at our feet. And there was another one over our heads. And there were several of them lined against the wall," she said. "And they stayed there with us. And I saw another officer get shot right in front of me."
Two of her other sons escaped through a parking garage, while the fourth fled the gunfire with another woman he didn't know.
Taylor suffered a bad fracture of her tibia just below her right knee, one of her doctors said. It was repaired with a plate and screws, but it will be two to three months before she can put weight on her leg.
Taylor says she wonders where the country is going to go from here.
"I'm just a mother and a wife," she said. "I'm not an activist. I'm not a politician. I just want to protect my family."
She stressed that most police officers deserve praise and not all of them are "out to get us."
"These are the people you call when you're in a situation. You gotta remember that," she said. "What are we gonna do if they stop policing? What are we gonna do? ... Who are you gonna call?"
Videos Show People Running In Panic As Gunman Opens Fire At Texas Fair 2 Aides Of Khalistani Terrorists Arrested In Delhi Video: 3 Men Threaten Punjab Businessman In Khalistani Terrorist's Name 25,000 Aspirants For Airport Jobs Paying Rs 22,000: A Mumbai Stampede Scare Siddaramaiah Deletes Post On 100% Quota Bill, Karnataka Minister Clarifies Prank Goes Wrong: Woman Falls From 3rd Floor In Mumbai Building, Dies Huge Fire At Gulati Restaurant In Delhi's Pandara Road, No Casualty "This Is The Final Straw": Elon Musk Moving X And SpaceX Out Of California Urvashi Rautela's Bathroom Video Real Or PR Stunt? Internet Debates Track Latest News Live on NDTV.com and get news updates from India and around the world.