D, Anxiously is describing how he is nervous.
Hope this helps!
To understand if they are noun phrases or not, it is necessary to understand its definition:
A noun phrase is a word or a set of words including a noun, whose function in a sentence can be: to act as a subject, an object or a prepositional object.
Sentence A is not a noun phrase. it is a prepositional phrase functioning as the postmodifier of the noun phrase (a lovely bouquet).
Sentence B is a noun phrase functioning as the subject of the sentence.
Sentence C is a noun phrase functioning as a direct object.
Sentence D is not a noun phrase, as it is a dependent clause and has not nouns in it.
she has two meals in the morning
two meals in the afternoon
Oedipus sends Creon to find the answer of ending Thebes' plague.