Buddug is the Welsh form of Boudicca — from the Celtic boudig (victorious). Buddug-Boudicca (c. 30-61 CE) was the legendary queen of the Iceni who led the great uprising against Roman occupation in 60-61 CE.
Buddug 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 Buddug reduce to 5, The Seeker. This is a traditional interpretive system, not a factual claim about the name.