Adrienne is the French feminine of Adrian — "of the city Hadria." Adrienne Rich (1929-2012) was the American poet and essayist who became one of the voices of second-wave feminism and lesbian literature.
Won every major American poetry award.
Adrienne 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.
In Pythagorean numerology the letters of Adrienne reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.