From the Florida Psychologist Licensure Application (holding and underlining mine):
“26. Have you ever been convicted of, or entered a plea of guilty, nolo contendere, or no contest to, a crime in any jurisdiction, including a military court martial, other than a minor traffic offense? You must include all misdemeanors and felonies, even if adjudication was withheld by the court so that you would not have a record of conviction. Driving under the influence or driving while impaired is not a minor traffic offense for purposes of this question.
Looks like you would have to answer “yes.” It might not disqualify you. You really need to contact the board regarding your specific situation. Licensing boards and other similar entities do not look at things done as a 19 y.o. as “childish mistakes,” but as potential patterns of behavior which, if license is granted, might put the public at risk. The are additional questions on the application regarding specific felony types and relevant Florida Statutes, as well as regarding how long ago it was (e.g. longer than 10 years ago). Crimes related to fraud, public health, abuse of public assistance programs, and drug abuse prevention seem to be given more scrutiny. If your crime involved Medicare/Medicaid fraud (always popular with 19 year olds, right?) you may have a problem. Again- contact the board sooner than later.
Note that all this info is pretty easy to get. Google “State Name Psychologist licensure application” and follow links to a pdf of the application. This is how you’ll also find contact info for the board. Contact that board! You need to know what’s up before you spend the next 10+ years investing time, money, and opportunity costs into pursuing a potentially not realistic profession.