The correct answer is option 'A', Tara.

Tara is the name of the female figure that became very popular in bronze images during the medieval period in South India. She is a significant deity in both Hinduism and Buddhism and is associated with various qualities and aspects.

Here is a detailed explanation of Tara and her significance:

1. Introduction to Tara:
Tara is a goddess who is widely revered in South India, particularly during the medieval period. She is believed to be a form of the divine mother and has different names and manifestations in both Hinduism and Buddhism.

2. Significance in Hinduism:
In Hinduism, Tara is considered to be a form of the goddess Durga. She is associated with protection, power, and the ability to overcome obstacles. Tara is often depicted as a fierce goddess, with multiple arms and weapons, symbolizing her ability to vanquish evil forces.

3. Significance in Buddhism:
In Buddhism, Tara is one of the most important bodhisattvas, who are beings on the path to enlightenment. She is regarded as a compassionate figure who helps individuals overcome suffering and attain enlightenment.

4. Iconography of Tara:
Tara is often depicted in bronze images during the medieval period in South India. These images usually show her in a seated or standing posture, with multiple arms holding various attributes. She is commonly portrayed with a calm and serene expression, symbolizing her compassionate nature.

5. Attributes and Symbolism:
Tara is associated with different attributes and qualities, depending on her specific manifestation. Some common attributes include the lotus flower, symbolizing purity and enlightenment, and the sword or trident, representing her power and ability to conquer negativity.

6. Popularity in South India:
During the medieval period in South India, Tara gained significant popularity as a revered deity. Bronze images of Tara were created and worshipped in temples, and she was considered a powerful figure who could grant protection and blessings to her devotees.

In conclusion, Tara is the name of the female figure that became very popular in bronze images during the medieval period in South India. She is a significant deity in both Hinduism and Buddhism, associated with protection, power, and compassion. Her images in bronze were widely worshipped and symbolized her ability to overcome obstacles and bring blessings to her devotees.