"The conversation has got to change because everybody deserves respect, no matter the gender or setting," O'Dell said, referring to Trump's sexually explicit comments about her to her then-Access Hollywood co-host Billy Bush. "And as a mom, I have to add that our kids, especially our young girls, need to know that their hard work, their achievements, their intelligence, their heart are most important, and those things will not go unnoticed."
O'Dell also said the experience has renewed her faith that plenty of people still want "a better and more inclusive society" thanks to the messages of support she's received since the leaked audio was released by the Washington Post on Friday.
"I've been flooded with your messages from around the world, and I so appreciate all of your kind words," O'Dell said. "I have been reading as many as I can and they are completely renewing my faith that we all want a better and more inclusive society. So, once again, I thank you all for your support."
ET spoke with The Talk co-hosts Julie Chen and Sheryl Underwood on Monday at the "CBS Daytime #1 for 30 Years" event at the Paley Center for Media in Beverly Hills, California, who both praised O'Dell's handling of the situation.
"Grace under fire," Chen told ET's Denny Directo. "I mean, it doesn't get any classier than that."
NCIS star Pauley Perrette, Ghostbusters director Paul Feig, and more celebs have also spoken out on social media in support of O'Dell.
Trump has since apologized for the tape, calling his conversation with 44-year-old Bush "locker room talk." "This was locker-room banter, a private conversation that took place many years ago," the 70-year-old business mogul said in a statement after the video surfaced. "Bill Clinton has said far worse to me on the golf course -- not even close. I apologize if anyone was offended."
"This was locker room talk," he reiterated at Sunday's debate when moderators Anderson Cooper and Martha Raddatz questioned him about it. "I'm not proud of it. I apologize to my family, I apologize to the American people."
In O'Dell's on-air message on Monday, she said there was "no room for objectification" in any setting.
"There is no room for objectification of women, or anyone for that matter, not even in the 'locker room,'" she stated.
"The conversation needs to change because no female, no person, should be the subject of such crass comments, whether or not cameras are rolling," O'Dell also said in a statement on Saturday. "Everyone deserves respect no matter the setting or gender. As a woman who has worked very hard to establish her career, and as a mom, I feel I must speak out with the hope that as a society we will always strive to be better."