Shua (שׁוּעַ) means "wealth" or "prosperity" in Hebrew. In Genesis 38:2, Shua was the Canaanite woman whose unnamed daughter married Judah, son of Jacob — making her the grandmother of Er, Onan, and Shelah, ancestors of the tribe of Judah.
Also rendered as Bath-Shua ("daughter of Shua").
Shua 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 Shua reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.