The only STD test that I've seen that might be affected is the Hep B tests, and that's listed on Quest's page about biotin interference. See question #7.
https://www.questdiagnostics.com/healthcare-professionals/clinical-education-center/faq/faq202
You are most likely vaccinated for this, depending on where you live.
If you aren't in the US, you might check your lab's site to see if they have a list.
It seems they will be affected as long as you take the biotin. If you are concerned, just stop the biotin for a few days, then test. It is highly unlikely that you'd be infected with an STD or HIV for years and have no symptoms.
This is the HIV forum and we only answer questions about that here. What was your risk?