Welcome to the forum.
With under a minute of unprotected sex, your risk for any STD was low -- and virtually zero for HIV (which would be very rare in a 20 year old woman in Florida or anywhere else in the US). Your symptoms are not typical for any STD, including HIV. The antibiotics you took would have prevented or cured most bacterial STDs (gonorrhea, chlamydia, syphilis).
But since this is the HIV forum, presumably that's the one you are most concerned about. As just noted, the chance of catching HIV in this situation is exceedingly low. From a risk standpoint or on the basis of symptoms, you don't even need to be tested. However, I still recommend you be tested, because the negative result will probably reassure you more than anything I can say.
So have an HIV test. As just implied, you can definitely expect a negative result. Feel free to return with a follow-up comment and let me know the result. But since speculation is pointless when a clear answer is so readily available, I won't have any further comments about it until then.
I hope this has helped. Happy new year-- HHH, MD
Forgot to mention it was in south florida