Ayelet (אַיֶּלֶת) is the Hebrew word for "gazelle" or, in the phrase ayelet ha-shahar, "morning star." The phrase appears in Psalm 22's superscription.
Ayelet Shaked (born 1976) is the Israeli politician; Ayelet Waldman (born 1964) is the American-Israeli novelist.
Ayelet 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 Ayelet reduce to 5, The Seeker. This is a traditional interpretive system, not a factual claim about the name.