As your question has already been answered that you had no risk, we are now closing this thread.
*** thread closed ***
Besides you didn't inject with it, you just got poked so even if quickly done it would be dead on the surface of the needle.
You have accurately understood the risk from needles. HIV is not that easy to contract, and in order for transmission to occur, it requires that HIV enter your bloodstream. This is generally accomplished by inserting a needle directly into a vein and pushing the plunger to inject a substance.
Your experience is not a viable risk for HIV, but you can test 28 days after the event, if it gives you peace of mind.
hiv is instantly dead in air so the only way you can even have a theoretical risk is if you are sharing the needle QUICKLY for injection in which case some hiv is possibly briefly protected in some blood in the needle. That didn't happen so no risk.