Krista is a ♀ female name.
Christa is a short variant of the name Kristina or Christina, feminine forms of the name Christian, which is of ancient Greek origin.
Krista means “a Christian” or “follower of Christ” and “anointed” (from ancient Greek “christós/χριστὸς” = anointed one or “chrio/χρίω” = to anoint, originally from Hebrew “mashákh/מָשַׁח”).