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Sorry, I need some clarification on your consult . Are you suspecting that the needle the nurse used on you might have touched someone else's needle cap ?
or the cap your own needle ?
You can reply as a followup
Patient replied :
Somone's else cap- the cap with blood was already there when i entered the room
Ok, The probability of your syringe touching the open cap / blood / syringe is almost nil. All labs and medical personal and labs follow two WHO recommended guidelines called universal precautions and sterile precautions. Once opened the needle and syringe is kept and under no circumstances it is allowed to come in contact with anything, let alone an open cap of another patient.
In the rare case if the needle happens to come in contact with something like cotton, the needle will be discarded. This is a standard practice. I don't think you need to be worried about this at all. No issues here.
Hope this helps
Feel free to ask followups / clarifications