@candyquilt-- Yes, anemia is a type of cytopenia. It's when the body has lower than normal amount of red blood cells.
Someone with an iron deficiency won't necessarily always have anemia. But many people with iron deficiency do experience anemia eventually because iron is required to produce red blood cells. When this occurs, it's called "iron deficiency anemia." So iron deficiency itself is not a type of cytopenia but iron deficiency anemia is.
The symptoms your roommate has are typical symptoms of iron deficiency anemia. It's common to feel cold, look pale and crave strange things like ice and clay. She must also have fatigue. It's important for her to take her supplements regularly to avoid anemia and cytopenia.