The issue is me being labeled as a sexual predator, is this possible ?
I believe so. I have not looked up Floridas guidelines but that would constitute a sex crime and would appropriately be listed.

The act was entirely consensual and I've never forced anything upon any woman but her father is telling me that I could go to court.
Sorry but a 13 year old cannot consent to sex so no, it was not consensual.

She tells me that it was an honest mistake and that she understands what happened wasnt right and I'm really glad that she's ok
.well, at least maybe she was not traumatized, hopefully.

But could i really go to court ?
Oh ya. without a doubt

4) LEWD OR LASCIVIOUS BATTERY.--A person who:

(a) Engages in sexual activity with a person 12 years of age or older but less than 16 years of age; or

(b) Encourages, forces, or entices any person less than 16 years of age to engage in sadomasochistic abuse, sexual bestiality, prostitution, or any other act involving sexual activity

commits lewd or lascivious battery, a felony of the second degree, punishable as provided in s. 775.082, s. 775.083, or s. 775.084.
(5) LEWD OR LASCIVIOUS MOLESTATION.--

(a) A person who intentionally touches in a lewd or lascivious manner the breasts, genitals, genital area, or buttocks, or the clothing covering them, of a person less than 16 years of age, or forces or entices a person under 16 years of age to so touch the perpetrator, commits lewd or lascivious molestation.
(6) LEWD OR LASCIVIOUS CONDUCT.--

(a) A person who:

1. Intentionally touches a person under 16 years of age in a lewd or lascivious manner; or

2. Solicits a person under 16 years of age to commit a lewd or lascivious act commits lewd or lascivious conduct.

(b) An offender 18 years of age or older who commits lewd or lascivious conduct commits a felony of the second degree, punishable as provided in s. 775.082, s. 775.083, or s. 775.084.

(c) An offender less than 18 years of age who commits lewd or lascivious conduct commits a felony of the third degree, punishable as provided in s. 775.082, s. 775.083, or s. 775.084.