Indigence is a synonym for extreme poverty. If you experience indigence, you have a critical need for food, money, and other resources.
To correctly pronounce indigence, accent the first syllable: "IN-dih-genz." It means "great lack of material resources," like money. Indigence a noun, and indigent, an adjective, are related words that have to do with need. If you are indigent — suffering from extreme poverty — you are living in indigence, the state of extreme poverty.