I don’t know your full sexual or medical history so it’s difficult for me to give specific advice, but I can give you some general information based on what you have written. Frequent urination is not seen as a typical STI symptom, slight burning sensation can be a symptom of an STI, but this can also be caused by non-STI conditions as well.
It’s great that you saw someone and they were able to do some testing for you. Did they also test for STI like gonorrhea and chlamydia as well or did they just do the urine culture?
Most cases of gonorrhea and chlamydia would show up in a test by 2 weeks after it was passed to someone. Given this if you’re concerned it would be good to go for another urine test at 2 weeks to check for these.
The other thing is to follow up with the health care person you were seeing if you’re still experiencing symptoms like a burning sensation in the urethra or if it hurts when you are peeing. Other STI that are not tested for can cause these symptoms and it is common for the health care person you saw to give someone some medication for this.
Let us know if you have any other concerns or questions.