Hello and thank you for posting your medical question on E health forum.
From the history described, I understand you are anxious due to fear of HIV.
Use of a latex condom during sex can reduce their risk of HIV infection because it reduces the chance of getting semen, blood and vaginal secretions (fluids known to carry the virus) into the body. Hence the risk of infection is less in your case.
A HIV DNA PCR test directly measures the amount of HIV in an HIV-positive person's blood. Hence it may detect an HIV infection about a 7-10 days after an exposure. Therefore the PCR test is used by researchers and health care providers to identify infections during the window period. This test has a 100 sensitivity.
Your test stands valid since this was done on the 10th day of exposure.
Since this test has been found NEGATIVE, it is conclusive that you do not have HIV. There is no need to have any more doubts in this regard.
I hope this will help and put your doubts to rest.