Shaina is from the Yiddish שיינע (Sheyne — beautiful) — from German schön (beautiful). Shaina is one of the Yiddish feminine names — central to traditional Ashkenazi Jewish heritage. Yiddish feminine name reflecting Ashkenazi heritage.
Shaina 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 Shaina reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.