Amy is from the Old French amee ("beloved"), from Latin amare (to love).
Subject of Asif Kapadia's Amy (2015 documentary).
Amy 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 Amy reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.