Answer:
B. with great skill
Explanation:
<em>With great skill</em> is a prepositional phrase used <u>as an adverb</u>. Therefore, <em>with great skill </em>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 <em>paints</em>).
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.