Nyima is from the Tibetan ཉི་མ (Nyi-ma) — sun. In Tibetan cosmology, the sun (nyi-ma) is one of the seven jewels of royalty and a central element in Tibetan astrology + medicine. Also a element in Tibetan-Buddhist religious names — His Holiness the 14th Dalai Lama's sister Pema Gyalpo (1940-2014) was originally named Nyima Tsering at birth.
Nyima 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 Nyima reduce to 8, The Visionary. This is a traditional interpretive system, not a factual claim about the name.