Agnese is from the Italian Agnese — from the Greek Hagne (pure, holy) — Italian rendition of Agnes. Saint Agnes of Rome (c. 291-304 CE) was a early Christian virgin martyr — patron saint of young girls, chastity, gardeners, engaged couples, and rape survivors — one of the seven women commemorated by name in the Roman Canon of the Mass. Constantinian basilica) are Catholic pilgrimage sites.
Agnese 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 Agnese reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.