If you can't smell, eggs might not be a problem.
If you are still able to breathe through your nose, the potent aroma of eggs is known for making an already upset stomach worse.
The eggs themselves are probably good for you, but not if they make you vomit.
For the most part, avoid any foods with strong odors that might make you queasy.
You'll quickly be able to tell which foods top your list with just a sniff.