Becoming red in the face is a common phenomenon that occurs due to various reasons - embarrassment, shame, anger, and frustration. However, there are several synonyms for this expression that can be used to describe this phenomenon. Some of these are 'blush' which means to become red in the face due to embarrassment and shyness. 'Flush' means to become red in the face due to anger and frustration. 'Flame' means to turn bright red or hot in the face due to anger or excitement. 'Glow' means to become red in the face due to shame or humiliation. Using synonyms for this expression can make your writing more creative and expressive.