The correct answer is D. No correction required.
The sentence “You can’t imagine that she is rude and arrogant” is grammatically correct. The word “that” is a relative pronoun that introduces a clause that describes the person who is being talked about. In this case, the clause is “she is rude and arrogant.” The word “rude” is an adjective that describes the person’s behavior, and the word “arrogant” is another adjective that describes the person’s attitude.
The other options are incorrect because they do not make sense in the context of the sentence. Option A, “that she is rudely and arrogant,” is incorrect because the word “rudely” is an adverb, and adverbs modify verbs. In this case, the verb is “imagine,” and “rudely” does not modify “imagine.” Option B, “how rude and arrogant he is,” is incorrect because the word “how” is an interrogative pronoun, and interrogative pronouns are used to ask questions. In this case, the sentence is not a question, so “how” does not make sense. Option C, “what rudeness and arrogance she has,” is incorrect because the word “what” is a interrogative pronoun, and interrogative pronouns are used to ask questions. In this case, the sentence is not a question, so “what” does not make sense.