Step 1: Understanding the Concept:
The question requires identifying the female protagonist who is not a character in any of the major plays written by the classical Sanskrit writer, Kalidasa.
Step 2: Detailed Explanation:
Let's examine the heroines of Kalidasa's three famous plays:
\[\begin{array}{rl} \bullet & \text{Urvashi is the celestial nymph and heroine of Kalidasa's play Vikramōrvaśīyam. } \\ \bullet & \text{Malvika is the princess and central character of the play Mālavikāgnimitram. } \\ \bullet & \text{Shakuntala is the famous heroine of Kalidasa's most renowned play, Abhijñānaśākuntalam. } \\ \bullet & \text{Vasavadatta is the heroine of the Sanskrit play Svapnavasavadattam (The Dream of Vasavadatta). However, this play was written by the playwright Bhasa, not Kalidasa. } \\ \end{array}\]
Therefore, Vasavdutta is the character who does not appear in a work by Kalidasa.
Step 3: Final Answer:
The correct answer is Vasavdutta.
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