The screen flashes red when the queen loses more than 75% of its health. It is also immune to disrupting effects and repositioning effects.
Your queen can do absolutely nothing but laying eggs. You can't build, delete or upgrade queen chamber. It has 7 tiles and each tile can hold 10 food. Queen chamber acts as both nursery and food storage. You usually start a freeplay game or mission with a queen and 3 worker units.