I got drunk and ended up having sex up with a prostitute. i used protection but im worried that when i kissed her i contracted an sti, i didnt have any sores in my mouth and it was not deep kissing, no tongue. what are the chances ?

Some chance: although low, getting testing with your doctor would be the safest course.

STD: Well if you dont have any injure in your mouth, the most common STD that you can get orally are Herpes type 2 or HPV, however is difficult to make a diagnosis if you dont have symptoms, I only recommend you keep your mouth clean, and be aware of any lesion in the future. The condom doesnt protect at 100% from every STD, be safe, and be careful with risky sexual partners.