It may pay tribute to the poet's skill in communication or in earning honors or acceptance of famous people. Wealthy or respected patrons may promote the poet. Most likely respect will be the result of honors among peers in the arts. Fame can come from many sources. Fame and greatness may not be precisely the same, but this statement is equally true of fame.
Fame can come from being born in a famous family or from achievement or accident.
A poet may achieve fame through education, from being born in the right place or having a timely message. It may come through charisma or Intelligence or from a knack with words. Homer was among the most famous poets of his day and in great demand among wealthy patrons to recite his extensive repertoire. Most poets who are included in school literature textbooks were famous at one time, although that fame was often fleeting. Some poets rise and fall in their acclaim over time.