Doyeon is from the Korean do (도 — path, way) + yeon (연 — soft, lotus). Princess Doyeon — modern Korean heritage naming.
Doyeon 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 Doyeon reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.