This is from the board of nursing from 2023 here is a link to their findings https://www.floridahealth.gov/licensing-and-regulation/declaratory/_documents/nursing/DOH23-0849DS1701-610971-1.pdf
they clearly state that a nurse can inject botox under direct supervision of a Medical Doctor giving orders and with proper training.
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UPDATE (7/19/2023): New development in the Florida RN and cosmetic injection situation. On July 7, 2023, the Florida Board of Nursing published a new declaratory statement linked above. The statement was requested by a registered nurse (RN) who states they have worked under a physician and nurse practitioner observing them perform aesthetic injections for four years. They additionally have completed a 12-hour CME course on aesthetic medicine. The RN then asks the board if they may administer cosmetic toxin injections once the physician has examined the patient, ordered the treatment and delegated the task to the RN, elements the nursing board had previously stated were necessary. The board finds that, yes, the RN may perform cosmetic injections in this situation. It is important to remember that declaratory statements are not laws and only resolve questions as they apply to the petitioner’s particular circumstances, but this certainly signals a shift in the board’s prior stance on cosmetic injections. (article credit)