Synonyms of 'bespatter'
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to smear all over with something thick, sticky, or dirty
If you besmirch someone or their reputation, you say that they are a bad person or that they have done something wrong, usually when this is not true.
Lawyers can besmirch reputations.
Thesaurus for bespatter from the Collins English Thesaurus
to splash all over, as with dirty water