The phrase "got goat" refers to someone who has become angry or annoyed with someone or something. When looking for synonyms for this phrase, there are a number of different options. Some common synonyms include "irritation," "frustration," "anger," "exasperation," and "annoyance." Other possible synonyms might include "displeasure," "distress," "discontent," "agitation," and "exasperation." Ultimately, the specific synonym that you choose will depend on the context in which the phrase is being used, as well as the tone and style of the writing or conversation. Regardless of which synonym you choose, however, the key is to use the word that best conveys the sense of annoyance or frustration that the speaker or writer is trying to express.