Answer:
B. with great skill
Step-by-step explanation:
With great skill is a prepositional phrase used as an adverb. Therefore, with great skill is the adverbial phrase in the sentence.
Compare these sentences:
That young man is a creative artist who paints skillfully.
That young man is a creative artist who paints with great skill.
Skillfully is an adverb modifying the verb paints. Instead of a verb, you can use a phrase, with great skill, which will serve the same purpose (modifying the verb paints).
Another way to solve this problem is to ask this: which of the options answers the question of an adverb, i.e. "How?" or "In what manner?" or "In what way?" You will see that only the second phrase does. B is your answer.