Unadmonished can be a difficult word to find synonyms for, as it is quite specific in its meaning. However, some possible options could include words such as unchastised, unrebuked, or unchecked. These all convey the idea of someone not being corrected or told off, which is the essence of the word unadmonished. Other possibilities might include unsupervised, uncontrolled, or free from criticism. Ultimately, the exact choice of synonym will depend on the specific context in which the word is being used, as well as the author's personal style and tone.