Both Uses of

epithet
in
Jane Eyre

Too often she betrayed this, by the undue vent she gave to a spiteful antipathy she had conceived against little Adele: pushing her away with some contumelious epithet if she happened to approach her; sometimes ordering her from the room, and always treating her with coldness and acrimony.†
p. 216.2 *

Definitions:

(1) (epithet as in: racial epithet)
an insulting or abusive word or phrase
(2) (epithet as in: earned the epithet, "The Great")
a descriptor added to a person's name -- as in Alexander The Great

or:

a phrase used in place of a name or word -- such as: The Big Apple for New York, The Great Emancipator for Abraham Lincoln, or man's best friend for dog
(3) (meaning too rare to warrant focus)
meaning too rare to warrant focus:

In botany, a specific epithet or epithet is the word identifying the species.