The artist of option A, Hiren Bhattacharya, is matched with Puppetry, which is correct. Hiren Bhattacharya is known for his work in puppetry.

Option B pairs Malini Rajurkar with Bharatanatyam dance. This is incorrect because Malini Rajurkar is a famed artist in Hindustani vocal music. Therefore, option B should be matched with Hindustani vocal music.

For option C, Pratibha Prahlad is incorrectly linked with Kuchipudi dance instead of Bharatanatyam dance. She is a renowned Bharatanatyam dancer.

Lastly, for option D, Vempati Chinna Satyam is incorrectly associated with the Bharatanatyam dance. He is a famous Kuchipudi dancer.

Hence, the correct pairing would be Hiren Bhattacharya with Puppetry, Malini Rajurkar with Hindustani vocal music, Pratibha Prahlad with Bharatanatyam dance, and Vempati Chinna Satyam with Kuchipudi dance.

Therefore, the correct answer is option 3.