Hiv takes about 4 weeks to show any signs. Plus your exposure doesnt indicate that. The fact the condom stayed on means it's pretty likely the source of the infection is not related to an sti. Blood test confirm the presents of white blood cells - the body defene with a viral or bacterial infections. You may have had a normal cold, infected tonsils, anything.
If it was an sti (common ones) depending the strength of the antibiotics, would have cleared up Chlamydia and gono and possiblity of syphilis before it took hold. But again, the fact the condom stayed on wouldn't worry me about stis.