In lang=en terms the difference between primarily and chiefly
is that primarily is of a primary or central nature, first and foremost while chiefly is mainly or principally; almost entirely.
As an adjective chiefly is
of, or relating to a chief.
primarily
English
Adverb
(-)
(focus) Of a primary or central nature, first and foremost
chiefly
English
Adverb
(
en adverb)
(focus) especially or primarily; above all
(focus) mainly or principally; almost entirely