Of the noble sort; honey bee
Delissa is a modern elaboration of the name Alice or Melissa. It combines the Germanic roots for nobility with the Greek associations of the honey bee, resulting in a unique American coinage.
Less common today
Delissa isn't in the latest US Top 1000. It last peaked at #5,473 in 1991.
US births per 5-year period, 1990βpresent (SSA data).