Giffords was gunned down outside a Starbucks in suburban Atlanta on Friday night.
She was the first person killed in a shooting spree targeting Asian Americans in the US since 2014.
Her death marks the latest in a series of high-profile killings targeting Asian American men, women and children.
But her death was not the first for a female elected official in the South.
In 2014, Arizona congresswoman Gabrielle Gifford was shot and killed by a white supremacist during a protest outside the Republican National Convention.
The killing sparked nationwide protests and led to the creation of the Arizona Coalition Against Hate.
Giffords and her husband Todd were shot by an off-duty police officer as they were walking back from a convenience store after shopping.
Police said the officer was following a report of a robbery at a gas station in Mesa, Arizona.
They say Giffard was armed with a handgun and the officer fired a single shot from his service weapon, striking Giffarts chest.
Gifford’s husband Todd, 32, was killed by the same police officer after fleeing the scene.
Gaffords and Todd were among nine people killed by US police in 2016.
Arizona police say the majority of those killed were Asian Americans.
A white supremacist killed five officers and wounded six more on July 8, 2017 in Phoenix, Arizona, after shooting into the crowd during a demonstration.
Three of the five officers are African American.
It’s the first time in recent memory that a white police officer has killed a black person.
President Donald Trump has blamed the deadly shootings on a lack of diversity in law enforcement, and in his first speech as president on January 20, 2017, he blamed the violence on “systemic racism.”
“The violent acts of white supremacists, right-wing extremists, and Neo-Nazis are a product of a broken criminal justice system that punishes African Americans for crimes that were committed many years ago, but never committed,” he said.
“Our criminal justice process is biased against minorities.
This is why our nation is so broken.
And the American people deserve better.”
A group of Asian American lawmakers released a statement on Saturday calling on President Trump to investigate the shooting and prosecute the officer involved.
“As we’ve seen in the past, police departments do not operate in an environment where officers are allowed to act in ways that could have a negative impact on the safety of the community,” said the statement from the Congressional Black Caucus of California.
“This is the first and only time that we have seen a case of an officer killing an Asian American.
We call on the Department of Justice to open an investigation into this officer’s actions and bring the individual to justice.”
The Associated Press contributed to this report.