Aysel is from the Azerbaijani Aysel (Ay-sel — ay moon + sel flood, river) — moon-flood, river of moonlight. Aysel is one of the Azerbaijani + Turkish feminine names — central to traditional Azerbaijani Turkic-Persian heritage.
Aysel 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 Aysel reduce to 8, The Visionary. This is a traditional interpretive system, not a factual claim about the name.