There are several synonyms for the phrase "red faces", each with their own unique connotations. Embarrassment, shame, discomfort, and humiliation all fit the bill. Red faces are often associated with feeling exposed or vulnerable, and they can be a sign of social anxiety or nervousness. Blushes, flushes, and rosy cheeks are also common alternatives to "red faces". However, it is worth noting that not all red faces are negative - in some cases, they can be a sign of excitement or passion. Regardless of the context, it is clear that red faces are a powerful indicator of our emotional states.