嫖妓对美国入籍申请有影响吗? likely not. you

were probably charged with a violation depending on Miami's local Penal law. It is highly unlikely be a misdmeanor.

Crimes involving moral turpitude under the INA may not include what you have been charged with.

In any case, you need to get a court certificate of disposition or the police certificate of disposition.
You will know what you have been charged with (it will show the section # charged) and know whether it will affect your citizenship application.

disclaimer: FYI only, not a legal advice.