Ms Means, a "wellness influencer" and close ally of Robert F. Kennedy Jr., lacks an active medical licence.
This follows Mr Trump's withdrawal of his previous nominee, Dr Janette Nesheiwat, a former Fox News contributor, amid controversy over her medical credentials and support for COVID-19 vaccination.
Ms Nesheiwat's nomination was challenged by conspiracy theorist Laura Loomer, who questioned her alignment with Mr Trump's health initiatives.
A CBS News report also revealed that while Ms Nesheiwat listed herself as a graduate of the University of Arkansas School of Medicine, she actually received her degree from the American University of the Caribbean.
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