Find out from the doctor if it is enough for your child to have food without gluten, or if s/he needs it to say ‘gluten free’ “
Respectfully, I must slightly disagree with you. If someone has celiac, they are not just degrees of sensitive. They are gluten-sensitive. period. Someone with a gluten ALLERGY is not the same as having celiac. People who are allergic might be able to eat trace amounts or even occasional amounts of a substance without great incident.
People with celiac however, damage the villi of their stomach lining (which chalilah could lead to a VERY serious situation) whenever their stomach comes in contact even with the tiniest amount of gluten (could be there was a tiny speck of flour on the soup spoon you used to stir the gluten free food. Someone with celiac disease, is SO sensitive, that even that slight amount will harm them, and the damage can take weeks, if not months, to heal. Think of it in this way. How much chametz can you mix into Pesach food and still be allowed to eat it? NONE. Not even a speck. It is not bateil in anything. If you look at gluten as chametz (and most chametz DOES contain gluten), it will be easier to understand how improtant it is to not expose it to the person with celiac.
It will take getting used to, but in the long run, this is a condition that can be totally handled with careful attention to the diet, and there is no danger of incident if that diet is adhered to scrupulously. Unlike diabetics who must monitor their sugar, might need insulin or other medications, and could have bad reactions to rise and fall of sugar levels, the person with celiac can live a completely typical life, just without gluten. B”H there is plenty to eat that has no gluten in it.