I've just been diagnosed with coeliac disease. i'm in process the of cutting gluten from my diet - when will symptoms (pain/anemia/etc) disappear?

Takes time: The disease involve antibodies triggered as a fluke by gluten that attack your intestinal tissues as if it were an invading germ. Stop ingesting gluten & antibodies quit forming & those you have can gradually disappear. You can heal as the intestine restores itself. Be vigilant in reading product labels. Gluten is in many things. Beer, whiskey,soy sauce & many other items contain trace amounts.