This is the 4786th most frequent Russian word.
заслуженно
Deservedly.
Here, "заслуженно" is used as an adverb describing the manner in which receiving the award was justified due to her accomplishments.
Она заслуженно получила награду за свои достижения.
She deservedly received an award for her accomplishments.
In this sentence, "заслуженно" modifies the verb, indicating that the recognition of the movie as a masterpiece is well-justified.
Этот фильм заслуженно считается шедевром в своем жанре.
This movie is deservedly considered a masterpiece in its genre.
Here, "заслуженно" describes the context and appropriateness of him receiving the promotion.