It is frequently stated that contact with recent, open wounds can potentially lead to transmission of HIV. This situation is much rarer than the warning suggest. The wounds which transmit HIV are typically genital wounds due to genital ulcerations such as those caused by syphilis, not wounds on other parts of the body.  Direct contact with blood from an untreated, infected person is a very very rare means of HIV transmission if it occurs at all. 

You can safely believe that your initial test was incorrect because of problems following the instructions. On the other hand, you should believe your hospital laboratory test.  You don’t describe the reason that you are concerned about HIV in detail, but my advice would be to believe the results of your hospital test and move forward without concern.

The CDC statement about occasional situations where fourth generation HIV test become positive after more than six weeks is overly conservative, and the true figure is substantially less than one percent. Neither Dr. Handsfield, nor I have ever heard or seen of such a case. My strong advice is to believe your test results. I move forward without continuing concern.

I hope this information is helpful to you. If anything is unclear, you have up to two follow up for clarification. EWH.

  Many Thanks

Your negative test was taken at a time when you can be completely confident of the result.  I see no need for further testing unless you have future sexual exposures of concern.  

Take care.  Please don't worry.  EWH