My wife was stung by a jelly fish. can my wife still breast feed our baby after being stung?

Yes: She can neutralize the jelly fish sting by using plain meat tenderizer (adolph's is a good one) & get quick relief. The superficial protein based toxin will not make into the breast milk.

Yes: Being stung by a jellyfish is a local reaction on the skin and should not affect the quality nor the safety of breastfeeding. She should continue to breastfeed.