Messenger or heavenly being
A modern compound name blending the Greek-derived 'Angel' with the suffix '-issa', often associated with Melissa. It carries the connotation of a divine messenger or a sweet, heavenly spirit.
Less common today
Angelissa isn't in the latest US Top 1000. It last peaked at #12,987 in 2006.
US births per 5-year period, 1990βpresent (SSA data).