You can't get HIV this way. The only risks for HIV are to have unprotected vaginal or anal sex or sharing IV drug needles. Even with your tooth extraction and pasta eating (not sure why that would even be mentioned??). No worries or risks for HIV with giving oral sex to someone. Air and saliva inactivate the virus. So, no risk and no testing needed.
Fyi I have not conducted any vaginal or anal sex, only oral sex and I wear a condom but she did not wear any dental dam. I KNOW it was very stupid of me because of my poor judgement. But please bear with me.
I'm confused. You only had oral sex and a doctor gave you an HIV test? You don't get it that way, so that's odd.