Synonyms of 'fight shy of something'
▷ See shy
Dermatologists fight shy of any question about hormones.
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If you avoid doing something, you choose not to do it, or you put yourself in a situation where you do not have to do it.
He managed to avoid giving them an idea of what he was up to.
He has repeatedly dodged the question.
If you eschew something, you deliberately avoid doing it or becoming involved in it.
He eschewed publicity and avoided nightclubs.
Thesaurus for fight shy of something from the Collins English Thesaurus