No. If she had a UTI she would be complaining of burning and pain when urinating, and possibly some blood in her urine. She also would have cramping, and a frequent urge to urinate. She may or may not have a fever, but I don't think she has a UTI at this point.
If she has a sore throat, she most likely has a cold, or virus. I would continue to give her Tylenol, and make sure she is drinking lots of fluids. I would try gatorade, and diluted juices. Sometimes, children when they are sick do not urinate as often. It is the frequency that they worry about more. When my son had the stomach bug, he had not urinated in a while, and the nurses had told me that if they do not urinate within an 8 hour period, that they could be dehydrated. So it is important that she drinks alot of fluids.
Colds, sore throats especially don't last for more then a week. lf it is strep, it would get worse. If it is a regular sore throat, they typically lessen over a three day period, and stop after a week. This goes for a fever as well. Typically they last for about 3 days. If both continue over a week, or do not show any improvement, I would take her back to the doctors.