Moderata is the Latin word for "moderate, modest." Moderata Fonte (pen name of Modesta Pozzo, 1555-1592) was the Venetian Renaissance writer whose dialogue The Worth of Women (Il merito delle donne, 1600, posthumously published) is one of the earliest sustained feminist philosophical works.
Moderata 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 Moderata reduce to 5, The Seeker. This is a traditional interpretive system, not a factual claim about the name.