Kavyamayi is from the Sanskrit Kāvyamayī. CE + Kāvyālaṅkāra-Sūtra by Vāmana 8th c. CE + Kāvyādarśa by Daṇḍin 7-8th c. CE + Kāvyālaṅkāra by Bhāmaha 6-7th c. CE pan-Sanskrit heritage.
Kavyamayi does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Kavyamayi reduce to 9, The Giver. This is a traditional interpretive system, not a factual claim about the name.