As mentioned, if you go to the ER they can give anti-virals and a few things to greatly lessen your chances of contracting a blood borne disease.
My wife is a nurse in the OR and has had a few messed up things happen. Been stuck with a needle being used inside someone that is covered in blood, on more than one occasion, had a drill bit go thru a bone being repaired right into the meat of her hand, various body fluids going everywhere including eyes and mouth, and likely others she hasn't mentioned. There is a protocol where they are immediately pulled from the case and the site is scrubbed and allowed to bleed if possible, and then a trip to get a round of meds. They also pull blood from the patient and have a panel run to see if they have anything which they now get back in a few hours in her large level 1 trauma center she works at. No one has ever had anything and she has tested clean each time. But they also have told her the transfer of disease is fairly rare from a needle prick as it happens fairly often. They may say that to comfort them but I imagine it's somewhat true? Still not an excuse for risky behavior. Not only that, but used needles dull quickly which does more damage to the vein than a sharp needle.
But definitely best to get checked like you are but if it happens again it might be worth a trip to the ER to get a round of meds. They also have same things if you engage in risky sex, FYI.
You are most likely fine so I wouldn't worry until there is a reason to worry as it's just undue stress and anxiety.