White House press secretary Karine Jean-Pierre pushed back against former President Donald Trump on Wednesday after he questioned Vice President Kamala Harris' race during a panel at the National Association of Black Journalists Convention in Chicago.

Trump refused to answer a question by ABC News' Rachel Scott if Harris, who is Black and Indian, was a "DEI hire," an argument floated by some Republicans last week.

"She was always of Indian heritage, and she was only promoting Indian heritage,” Trump said. “I didn't know she was Black until a number of years ago, when she happened to turn Black, and now she wants to be known as Black. So I don't know, is she Indian or is she Black?"

He later said, "I really don't know, could be, could be, there are some."

Jean-Pierre criticized those comments during the daily White House briefing that was going on at the same time.

"As a person of color, as a Black woman who is in this position, that is standing before you at this podium, behind this lectern, what he just said, what you just read out to me is repulsive. It's insulting," she said. "And no one has any right to tell someone who they are, how they identify. That is no one's right. It is someone's own decisions."

Jean-Pierre added that Harris -- who attended Howard University, an HBCU, and was a member of the Black sorority Alpha Kappa Alpha -- is the vice president and said that people have to "put some respect on her name."

"It doesn't matter if it's a former leader, a former president. It is insulting. And we have to put -- she is the vice president of the United States, Kamala Harris. We have to put some respect on her name," Jean-Pierre said.

-ABC News' Michelle Stoddart

The United Auto Workers International Executive Board voted Wednesday to endorse Vice President Kamala Harris' presidential bid.

"Our job in this election is to defeat Donald Trump and elect Kamala Harris to build on her proven track record of delivering for the working class," UAW President Shawn Fain said in a statement.

“We stand at a crossroads in this country. We can put a billionaire back in office who stands against everything our union stands for, or we can elect Kamala Harris who will stand shoulder-to-shoulder with us in our war on corporate greed. This campaign is bringing together people from all walks of life, building a movement that can defeat Donald Trump at the ballot box. For our one million active and retired members, the choice is clear: We will elect Kamala Harris to be our next President this November," he added.

-ABC News' Brittany Shepherd

Trump posted another statement on Truth Social expressing fury that Harris may talk to the National Association of Black Journalists Conference via Zoom.

"I am getting ready to land in Chicago in order to be there. Now I am told that she is doing the Event on ZOOM. WHAT'S GOING ON HERE?" he posted.

In response to former President Trump's appearance at NABJ, the Harris campaign released a statement calling out all of the "lies" they claim Trump will mention about his record with the Black community.

"Not only does Donald Trump have a history of demeaning NABJ members and honorees who remain pillars of the Black press, he also has a history of attacking the media and working against the vital role the press play in our democracy."

The campaign listed "skyrocketing Black unemployment," his response to the pandemic, and "skyrocketing crime."

-ABC News' Gabriella Abdul-Hakim, Fritz Farrow, Isabella Murray and Will McDuffie

The Harris campaign is fundraising off of the heightened interest in her selection process for her running mate.

The campaign shared a photo in an email Wednesday of President Joe Biden asking her to be his vice president, recounting how memorable of a moment it was for her before relaying she understands just how much of an "important" choice the decision is.

"Though I have not made my decision yet, it is important to me that grassroots supporters -- like you -- have direct updates about the state of the race," Harris wrote. "The selection of my running mate is not something that I am taking lightly. It is an important choice," the message read.

-ABC News' Gabriella Abdul-Hakim, Fritz Farrow, Isabella Murray and Will McDuffie