Your intestines are trying so hard to heal and even the smallest crumb will trigger a reaction.
I avoided Dairy for a long time to help the healing process too. Dairy if hard for your damaged villi to digest, especially if your guts are very damaged.
You are probably detoxing from the wheat too.
You are early in the process and packing a lunch is a good thing to do. Restaurants are dangerous places for us Celiacs and they don't understand how militant we have to be to keep it away.
I have found strong peppermint tea to be helpful. Peppermint oil pills from the healthfood store can help with some of the 'hot belly' I would get.
Keep your diet simple for a while and keep track of what bothers you and what doesn't. You may discover a certain thing that triggers that makes no sense.
I cannot have any citrus fruits at all. NOT ONE SIP! or 5/6 days of terrible gut pain.
It's tricky trying to heal something you use every day. You can't tell your intestines to go on best rest, it is a useful part of your body that has to heal and work at the same time.
hang in there... We have all gone through this too.