1) fame (名詞) = 名氣
to rise to fame = 成名--- 是 「動詞短語」
"Millie's rise to fame" = Millie的成名
2) "Millie 's rise to fame / came / as a surprise after a long struggle."
= After a long struggle, Millie 's rise to fame / came / as a surprise.
= 經過漫長的奮鬥 , Millie 的成名 / 來得 / 像個驚喜。
Millie's----s (grammar)showing possession as the possessive case, eg:-Millie's meaning possessive pronoun of Millie=subject
rise to fame----adj cl of condition
came----v--past tense of come;
as a surprise-----a complement to subject.,a particle followed by a prepositional phrase;
after a long struggle----adj phr.of time duration.
Verb in the pattern should be separated, simplified, and used correctly:-eg:-Millie's fame---s in the possessive case
came---v (the verb is used here)(past tense of come)
surprisingly------adv.
longingly------adv--a longing for fame, for showing a strong feeling of wanting something.