Explanation:

- Beguile: This word means to charm or enchant someone in a deceptive way. It often implies deception or misdirection.

- Option 1: Repulse: This means to drive back or to cause a feeling of disgust. It is not synonymous with beguile, as it indicates a negative reaction rather than deception or charm.

- Option 2: Hasten: This means to speed up or hurry. It does not relate to deception or charm, making it an inappropriate synonym for beguile.

- Option 3: Deceive: This means to mislead or trick someone, aligning closely with the deceptive aspect of beguile. It is a suitable synonym.

- Option 4: Disenchant: This means to free from illusion or charm, which is contrary to the meaning of beguile.