UTIs and Fever in Adults?

Not necessarily. See "Symptoms" on this website:

http://kidney.niddk.nih.gov/kudiseases/pubs/utiadult/

Thank you for the link.

One thing that disturbs me is the fact that you could have a fever and a UIT and the events not be related to each other.

Apparently, if bacteria reach the kidney, a fever may result. If no antibiotic is taken, the fever should persist, until the bacteria are destroyed by the human body's own defense system.

( I'm just speculating !)

or you'll end up in the hospital being prepped for surgery.

I'm not speculating.

The antibiotic, if effective should stop growth of the pathogenic microbes and with time, the fever should be reduced ( if the patient is otherwise healthy).