You had no risk of HIV because you can't get HIV from oral activities or from touching it. You were so safe that you don't need to test.
HIV is instantly inactivated in air and also in saliva which means it is effectively dead so it can't infect from oral activities or from touching it. It doesn't matter if you and they were actively bleeding or had cuts at the time either because the HIV is effectively dead.
Only adult risks are unprotected penetrating vaginal or anal sex or sharing needles that you inject with but you didn't do that so you had no risk. This sentence is all you need to know to protect yourself against HIV.
Even with blood, lactation, cuts, rashes, burns, etc the air or the saliva does not allow inactivated virus to infect from oral activities or from touching it. The above HIV science is 40 years old and very well established so nothing you can add will make your situation a risk.
No one got HIV from oral activities or from touching it in 40 years of HIV history, so likely no one will in the next 40 years of your life either.
Your symptoms are likely in your imagination or else minor like the mouth ulcer that anyone can get. Since you had zero risk, your doctor is wrong calling it a "low risk" HIV exposure, so consider finding a better one in future.