I don't think it's salmonella. FWIW, I used to have a mild allergy to duck eggs, but it went away after I ate enough eggs I guess. I noticed that after eating duck eggs my mouth felt funny, sort of itchy and swollen.I only ate one the first time, I do plan to try another one in a few days. I scrambled the first one. And I read that adding milk to it stabilizes the sulfer in it. So I will try it without milk.
Salmonella info from the CDC:
https://www.cdc.gov/features/salmonellapoultry/index.html
Egg allergies:
http://acaai.org/allergies/types/food-allergies/types-food-allergy/egg-allergy
If you want to investigate testing, check this out:
Salmonella testing at UC Davis CAHFS
http://www.cahfs.ucdavis.edu/test_fees/index.cfm