It reminded me of a pediatrician friend of mine who poked herself with a needle from an AIDS patient in the mid 1980's. This was near the beginning of the whole AIDS thing, and we didn't yet have real good information on the risk of transmission of HIV by a needle stick. My pediatrician friend was breastfeeding her 8 month old baby at the time and had a decision to make. Should she stop breastfeeding because if she did contract HIV from the needle stick she could potentially pass it on to her baby through breast milk? Or should she keep breastfeeding, knowing its advantages and thinking, to the best of our preliminary knowledge then, that her risk of actually developing HIV infection was small?
Now that question would be easier to answer, because we know that the risk of acquiring HIV from a needle stick is small - my employee health friends tell me it's one to three out of a thousand - and because if we are worried about the risk we can take effective anti-HIV drugs until we're sure the person poked doesn't get HIV. But we didn't know those numbers back then and we didn't have good anti-HIV drugs.
My friend kept breastfeeding. I guess it was the right decision, because she and her daughter - now a college student - remain in excellent health. It's not the real risk of infection from needle pokes that bother health care workers; it's just the natural worry.