Theodora is the feminine form of Theodore — from the Greek theos (god) and doron (gift), meaning "gift of God." It is the name of the most famous Byzantine empress: Theodora (c.
Theodora was popular in the 19th century, faded for most of the 20th, and is returning as part of the broader revival of long classical names. The short form Theo is unisex and has been rising fast. Today Theodora sits in the U.S. top 600.
Theodora is a compound name. Its parts are theós + dōron — each an attested element with a recorded meaning of its own.
Theodora 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 Theodora reduce to 5, The Seeker. This is a traditional interpretive system, not a factual claim about the name.