How far did you insert it?
Oral sex is far less risky than vaginal or anal sex.
Did you do oral testing on yourself, or just genital? You can get oral STDs from giving oral sex, too, and all your symptoms are oral.
Have you ever had a lip sore before? Do you have oral herpes?
You should get oral swabbed for gonorrhea and chlamydia. You might need to actually see a doctor for that, and ask for them specifically.
I'd be more concerned about that since the oral you gave lasted 5-10 min, and the oral you received only lasted a min or so.
When you go to the doc, you can get testing where you pee in a cup. You don't need to do urethral swabs.
Please could you let me know if there are further comments on the questions in my comments? Thank you.