Explanation:

The original sentence is erroneous.

Reason: The correct idiomatic expression is 'elbow one’s way through' and not 'elbow once ways through'.

Elbow one’s way (Idiom):

Meaning: To force one's way in, to, or through a crowded place, as by pushing other people with one's elbows.

E.g.: We had to elbow our way through the crowd to board the train on time.

 Hence ‘elbow one’s way through’ should be used in place of ‘elbow once ways through’ to make the sentence grammatically correct.

Among the given choices, only option C replaces the given bold part most appropriately.

The sentence after replacement becomes:

One has to elbow one’s way through the crowd in order to see the exquisite idols during Durga Puja in Kolkata.

Option C is hence the correct answer.