Welcome to the forum.
Some questions have sufficient information in the title to accurately reply, before even reading the question itself. Yours is the third or fourth such question just today! Actually, I cheated a little bit -- I read enough of the question to know you're asking about a rapid blood test, not the oral fluids test.
All the HIV blood tests, including the rapid tests, are 100% reliable any time more than 6-8 weeks after exposure. (The oral fluids test may take a bit longer to reach 100% reliability, closer to 3 months.) Although standard advice from the test manufacturers and many experts is that 3 months is required for definitive testing, this has to do mostly with regulatory issues and conservative policy, not with actual test accuracy. For more information about this, see this thread:
http://www.medhelp.org/posts//show/1704700
Looking at the details of your question, there is nothing that changes the conclusion of the comments I just wrote: your negative tests prove with 100% certainty you did not catch HIV during the exposure you are concerned about. Statistically, it is unlikely your partner had HIV -- the vast majority of CSWs don't have it -- but even if she did, your sex was protected. Protection is generally considered to be complete when the condom stays beyind as the penis is withdrawn from the vagina.
But most important, for the reasons above, the HIV blood tests are among the most accurate diagnostic tests that exist for any medical condition. Negative test results always overrule exposure history and symptoms, as long as testing is done sufficiently long after exposure. You really were quite over-tested considering the low risk of the exposure -- and you could have been entirely confident in the results after the negative 6 week test. A little sore throat makes no difference -- among other things, 6 weeks is much too late for onset of acute HIV symptoms.
So all is well and you can stop worrying. If you have a regular partner, you can continue (or resume) unprotected sex without fear of transmitting HIV.
I hope this has helped. Best wishes-- HHH, MD