Possible Clues:

• Unlikely admirer initially has date in US city
• City in Florida
• US state capital — a late hassle (anag)
• Home to FSU
• Hard to believe that's it — look round South American city
• Florida capital
• Seat of Florida State University since 1857
• Florida's capital after St. Augustine
• Site of Governor DeSantis’s office
• Treat all these as a capital