To Hunt Somebody Down: To Search For Somebody

To hunt somebody down: If someone or something hunts somebody down they eagerly search for them in order to kill or severely punish. 
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Transcription

• Queen: Find someone who doesn't fear the dark forest to hunt her down. 
• Huntsman: Who are you? Why (does) the Queen wants you dead?
• Snow White: You should know, you're the one hunting me!

Vocabulary

• The word eagerly means "to be determined (to do something)".

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