I have an allergy to sulfur. Would this allergy mean I am allergic to sodium laureth sulfate found in body wash?

Can you clarify. Can you please clarify your allergy. Sulfur is a molecule, sulfate is made up of sulfur and oxygen molecules, thus it is a different compound. Also, sulfa antibiotics such as sulfamethoxyzole can cause an allergic reaction in some people, and thus these people need to avoid sulfa based antibiotics, and not necessarily sulfur, or sulfate.
Sulfa. Sulfa allergy is usually secondary to antibiotics such as bactrim (sulfamethoxazole and trimethoprim). You did not describe your type of allergy but if assuming it is to an oral antibiotic, you should be ok with the body wash.