The reason many have not heard of this is because it is totally untrue. I would not rely on information from an "experienced immunologist" unless they also have Celiac Disease and have done their homework. Even then, we have diagnosed Celiacs come on this board and they believe all the urban myths out there that have no basis in reality.
Most wines are processed in stainless steel containers and those which are done in oak barrels (probably more so in Europe) have had testing done on the finished product, with levels that are not enough to cause a problem even in sensitive celiacs. This topic has been discussed at length here and I lknow someone posted recently the info on this. I am extremely sensitvie, drink wine every day, and do not have any troubles from it. Most other Celiacs will tell you the same thing.
The fining process has been discussed also and I am hoping someone will post further info as I don't have time to look for it right now. I will, but not right now. I am at work but wanted to post something quick because this topic is getting old and the info is just wrong. There is no gluten in wine. Headaches usually come from sulfites and yes, BarryC,
we celiacs have sensitive guts anyway so if you have not healed fully, wine could be a problem because it is harsh on the GI tract. I could not drink anything for about 3 years after diagnosis but now? Love my wine!