Thanks for your question. HIV transmission through blood exposure into a deep open bleeding wounds like you describe could happen in a situation like multiple injuries within a shared space as in a car accident. If a person with HIV is on medications which have reduced their HIV viral load to being undetectable, they cannot transmit HIV through their blood ( or sex fluids). Small wounds or cuts generally heal up quickly and would not be as risky an entry for HIV through blood. If you are concerned about about a particular incident, then consider getting tested for HIV now so you know your own status and at 3 months post the exposure so the test covers the window period.
Let us know if this does not answer your question or if you have any more questions or concerns.
Health Nurse