As a provider in TN, I worked in 2 places, an Urgent care where we did drug tests for employment, and as you have found, the standard employment screenings don't test for suboxone. However, I worked at a pain management facility as well and we did routinely screen for suboxone and we would not see those patients until it had been 6 months since their last use of suboxone if they were using it for drug addiction, additionally, we would not see that patient at all if they had been on the drug for pain control, that was just a company policy due to the high tendency for abuse and the additional licensing and liability that the medication entailed.
I was looking through the Florida statutes, suboxone isn't specifically mentioned with what I could find, it's basically lumped together with all of the other controlled substances, however, the statutes and FL BON say that a license can be revoked if it can be shown that: Statutes & Constitution
(j) Being unable to practice nursing with reasonable skill and safety to patients by reason of illness or use of alcohol, drugs, narcotics, or chemicals or any other type of material or as a result of any mental or physical condition.
The above can be subjective, however, your post isn't entirely clear, you stated that you were investigated for diversion, but didn't say why. **And not to put a fine point on the issue, but you are diverting drugs, just not from the patients at your employer, a different patient. For which Florida statutes look pretty clear, that is both a crime and a reason to lose your license. Additionally any licensed person that knows about this diversion and that doesn't report it, can lose their license as well.
So as you are already aware, as a healthcare professional especially aware, that you need a prescription from a licensed provider in order to be taking a controlled substance, so I am glad to see you making an appointment, best not to get fired or jailed for doing something that you can easily get legally.
Good luck in the future, you didn't say if the Suboxone was for pain or addiction, either way, good luck.