The phrase 'be turned on by' is quite explicit and has a sexual connotation. Therefore, its antonyms are quite important in maintaining an appropriate tone and avoiding offense. Some antonyms for the phrase include 'be repelled by,' 'be disgusted by,' and 'be indifferent to.' Other antonyms to use instead of 'be turned on by' could be 'be turned off by', 'be uninterested in', and 'be averse to.' Ultimately, using the right antonym for 'be turned on by' will depend on the context and tone of the sentence, and choosing the appropriate one will help to create a more polished and respectful piece of writing.