Gluten is not just "wheat. It is in a lot of food and other items (such as cosmetics, soaps, toothpaste). Here is a partial list.

Abyssinian Hard (Wheat triticum durum)
 Amp-Isostearoyl Hydrolyzed Wheat Protein
Atta Flour
 Barley Grass (can contain seeds)
Barley Hordeum vulgare
Barley Malt
Beer (most contain barley or wheat)
Bleached Flour
Bran Bread Flour
Brewer's Yeast
Brown Flour
Bulgur (Bulgar Wheat/Nuts)
Bulgur Wheat Cereal
Binding Chilton Club Wheat (Triticum aestivum subspecies compactum)
Common Wheat (Triticum aestivum)
Cookie Crumbs
Cookie Dough
Cookie Dough Pieces
Couscous
Criped Rice
Dinkle (Spelt)
Disodium Wheatgermamido Peg-2 Sulfosuccinate
Durum wheat (Triticum durum)
Edible Coatings
Edible Films
Edible Starch
Einkorn (Triticum monococcum)
Emmer (Triticum dicoccon)
Enriched Bleached Flour
Enriched Bleached Wheat Flour
Enriched Flour
Farina
Farina Graham
Farro Filler
Flour (normally this is wheat)
Fu (dried wheat gluten)
Germ
Graham Flour
Granary Flour
Groats (barley, wheat)
Seitan
Semolina
Semolina Triticum
Shot Wheat (Triticum aestivum)
Small Spelt
Spelt (Triticum spelta)
Sprouted Wheat or Barley
Stearyldimoniumhydroxypropyl Hydrolyzed Wheat Protein
Strong Flour
Suet in Packets
Tabbouleh
Tabouli
Teriyaki Sauce
Timopheevi Wheat (Triticum timopheevii)
Triticale X triticosecale
Triticum Vulgare (Wheat) Flour Lipids
Triticum Vulgare (Wheat) Germ Extract
Triticum Vulgare (Wheat) Germ Oil Udon (wheat noodles)
Unbleached Flour
Vavilovi Wheat (Triticum aestivum)
Vital Wheat Gluten
Wheat, Abyssinian Hard triticum durum
Wheat amino acids
Wheat Bran Extract
Wheat, Bulgur
Wheat Durum Triticum
Wheat Germ Extract
Wheat Germ Glycerides
Wheat Germ Oil
Wheat Germamidopropyldimonium Hydroxypropyl Hydrolyzed
Wheat Protein
Wheat Grass (can contain seeds)
Wheat Nuts
Wheat Protein
Wheat Triticum aestivum
Wheat Triticum Monococcum
Wheat (Triticum Vulgare) Bran Extract
Whole-meal Flour
Wild Einkorn (Triticum boeotictim) Wild Emmer (Triticum dicoccoides)
Hard Wheat
Heeng
Hing
Hordeum Vulgare Extract
Hydrolyzed Wheat Gluten
Hydrolyzed Wheat Protein
Hydrolyzed Wheat Protein Pg-Propyl Silanetriol
Hydrolyzed Wheat Starch
Hydroxypropyltrimonium
Hydrolyzed Wheat Protein
Kamut (Pasta wheat)
Kecap Manis (Soy Sauce)
Ketjap Manis (Soy Sauce)
Kluski Pasta Maida (Indian wheat flour)
Malt
Malted Barley Flour
Malted Milk
Malt Extract
Malt Syrup
Malt Flavoring
Malt Vinegar
Macha Wheat (Triticum aestivum)
Matza
Matzah
Matzo
Matzo Semolina
Meringue
Meripro 711
Mir
Nishasta
Oriental Wheat (Triticum turanicum)
Orzo Pasta
Pasta
Pearl Barley
Persian Wheat (Triticum carthlicum)
Perungayam Poulard Wheat (Triticum turgidum)
Polish Wheat (Triticum polonicum)
Rice Malt (if barley or Koji are used)
Roux
Rusk
Rye