The phrase "like a babe in the woods" refers to someone who is naive, innocent, or inexperienced in a particular situation. Antonyms of this phrase would include words or phrases such as "savvy," "experienced," "knowledgeable," "sophisticated," "worldly-wise," or "street-smart." These words indicate someone who is aware of their surroundings, has a good understanding of a particular subject matter, and is able to navigate challenging situations with ease. Using these antonyms, one could describe someone as being the opposite of a "babe in the woods," someone who is well-traveled or well-educated, or someone who has a vast amount of experience in a particular field.