Follower of Dionysus
Denicia is a modern elaboration of Denise, which is the French feminine form of Dionysius. It ultimately refers to the Greek god of wine, fertility, and celebration.
Less common today
Denicia isn't in the latest US Top 1000. It last peaked at #5,621 in 1996.
US births per 5-year period, 1990βpresent (SSA data).