Can a Florida employer decline to hire me based on a non criminal offense revealed in a background check that does not relate to the job applied for ?

I was offered a job as a nurse pending the outcome of a background check. 2 weeks or more later after not hearing back from said employer, I contacted them to inquire and was told that the back ground check revealed I had bounced a check twice about 12 years prior to the hire process. I was told this was why HR would NOT be hiring me. I was convicted in the state of Wisconsin of a municipal citation of "issue of worthless checks". It is NOT a misdemeanor NOR a felony. It is NOT a criminal offense and only punishable by a monetary penalty. In the state of Wisconsin where I bounced the 2 checks 12+ years ago it states that to NOT hire someone based on that information is a crime unless the offense directly related to the job I was applying for. I do not see where bouncing a check and being a nurse have anything to do with each other.