Tuyana is from the Buryat-Mongolian Туяна (Tuyana — tuya ray + -na feminine suffix) — ray of sun, ray of light. Tuyana is one of the Buryat feminine names — central to traditional Buryat Mongolic-Siberian heritage Vajrayana Buddhist heritage.
Tuyana 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 Tuyana reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.