Do I have to avoid touching gluten??

This is my fifth week of being gluten free after my endocopy. Before cutting out gluten my symptom was vomiting once or twice a week and having B vitamin deficiencies.

Since stopping gluten I've only vomiting once and feel much better in general. However I have had two big reactions that have really confused me.

Once was making my husband a sandwich. I made it, washed my hands with soap and warm water, washed under my nails and up my arms. Ten minutes late I had a bowl of GF cereal and immediately got a headache and felt sick and dizzy.

Second was tonight I made burritos. I wore gloves while plating the non gluten wraps and washed my hands before moving onto mine. However I might have double dipped into the grated cheese? Immediately after I started eating I had terrible stomach pain and ran to the toilet.

Both times I can't imagine that I ingested gluten certainly not in a significant amount. Are we just not able to even touch gluten?