An "ego" is like your self esteem. If you have a big ego, you think you are wonderful. Having a big ego is a bad thing.
Her ego is like a wildfire (big fire). If you fan a fire, it gets bigger. You can "fan" an ego by telling a person how good they are, and their ego will grow.
So, she has a very big ego, she thinks she is very good. However, if her friends do not constantly compliment her, she doesn't like them anymore.