黛娜 is the Chinese rendering of 'Dinah', most familiar from Lewis Carroll's
爱丽丝梦游仙境 (Alice's Adventures in Wonderland), where Dinah is Alice's cat. The choice of characters is feminine:
黛 ('dark eye-makeup', a poetic word often used in women's names) +
娜 (a stock 'feminine ending' character used in many transliterated female names like
安娜 Anna,
黛安娜 Diana).