hiv transmission through needlestick injury

[emergencyescape]

hello dr, somedays ago when i was giving local anesthetics to a pt the pt moved his hand so fast that i failed to observe any potential needle prick on my hand, but i felt a dull pain on the lateral side of my middle finger near the joint.  aI was useing a21G hollow bore needle.  after that I removed my gloves( i was useing double gloves) and washed the area with a lot of water but i did not find out any breach or pore or any sort of bleeding from that area. i asked the pt about his hiv status and he told me that he is negative. so i started my work again. after 4 days while doing other tests we found that he is positive and that time it was too late for me, i looked the whole finger for needle piercing mark several times but there was nothing.  But while i was doing the procedure that time the local anesthetics was contaminated with his blood.

after that incident on the 8th day i developed a mild fever that lasts for 24 hours but no other symptoms.

now my question is that what is the chance of my getting infected

[emergencyescape]

thanks for your kind response.
can it be possible that the tip of the needle entered a bit without leaving any mark, are capable of transmitting hiv

[Teak]

You never had an exposure from a needle prick.