When someone faces criticism, it means that they are being subjected to negative comments or feedback. However, there are other ways to express this. Another synonym for "face criticism" is to "receive flak," which implies a negative response to something that has been done or said. Another way to express this is to "be lambasted," which means to be criticized strongly. Someone can also "endure censure," which means they are subjected to severe criticism and disapproval. Lastly, someone who is "under fire" is also facing criticism, meaning they are under attack or scrutiny. All of these synonyms convey the idea of facing scrutiny and negative feedback.