Hi Kaitlin:
According to this website:
UF Department of Housing and Residence Education Undergraduate Assignments - INCOMING STUDENTS: What is a good Housing Application Date?
September 27 is an excellent priority date. It would put your priority date somewhere between the first 10-20% of students that are applying for housing for the fall.
You should be just fine! You should have the best of all worlds, the dorm you want with a roommate that you are compatible with! Enjoy your freshman year!
I also found this question and answer in the comments section of the above referenced blog :
A student (jaimeastorga2000) asked: "I did have a pretty late housing application date (sometime in February of 2008). Would it be a good idea to re-evaluate? Also, I was accepted in the UF Honors program so I wish to live in "Honors Residential College at Hume - Suites" for Fall/Spring."
The undergraduate assignment people gave the following answer:
"For Fall, if you have been admitted to the Honors Program and you requested Hume 1st, you will likely be assigned to Hume."
Note how late his housing date is and, still the housing dept, feels that he will "likely" be assigned to Hume.
I think you are definitely okay!