Protagonist. A protagonist is the leading character of a story, therefore that’s your answer.
The verb "looks" would be in this case a linking verb, since it is helping the reader understand the point of view of the observer. The weather itself is of course not "looking" anywhere.
Their is your answer the term her would not make any sense in this sentence but their would because asking did either of the sisters bring their umbrella and the term their belongs to both of the sisters
