The correct answer matches each person with what they are well-known for:

A. Mandakini Amte is known for her work in social service and community leadership (matched with 2). She is a medical doctor and social worker who has worked extensively with tribes in Maharashtra, India.

B. Neelam Mansingh Chowdhry is notable for her work in theatre direction (matched with 1). She is a renowned Indian theatre artist and was awarded the Padma Shri for her contribution to theatre.

C. Romila Thapar is famous for history writing (matched with 4). She is a well-known Indian historian who has authored several books on ancient India.

D. Vanashree Rao is known for her contributions to dance (matched with 3). She is a renowned Kuchipudi dancer.

The other options are incorrect as they wrongly associate the individuals with fields that are not their primary domain. For instance, option 2 states that Neelam Mansingh Chowdhry is known for History writing which is incorrect as her forte is theatre direction.