- Some people may be allergic to shrimp or other crustaceans. Symptoms of shrimp allergy may include hives, rashes, difficulties in breathing and vomiting. - The shrimp can be marinated or breaded with flour containing gluten, so it is important for gluten intolerant people to check the labels of the products or to ask a server for information on the preparation of shrimp. - Shrimps are rich in cholesterol, so it is recommended for people with high cholesterol problems to consume them in moderation. - Shrimps are rich in saturated fats and cholesterol, so it is recommended for people with heart disease to consume them in moderation.