। ॥
In plain words
O auspicious Śrī Kāmākṣī, salutation to the sparks of light of your lovely gentle smile: the palace courtyards where the lotus-faced lady Compassion plays, the birth chambers of the nectar streams of poets' ordered speech, the thrones of imperial rank from which nirvāṇa sprouts.
Word for word
To the play-eager-compassion-lotus-faced-lady's-palace-courtyards, to the poet-row-speech-order-nectar-stream-birth-houses, Śivā, to the nirvāṇa-sprout-emperor-rank-thrones, your, Śrī Kāmākṣī, to the lovely-gentle-smile-light-sparks, salutation.