The correct option is B us
Some verbs take two objects, a direct object and an indirect object. For
example, in the sentence 'Shaima gave a pen', there is only one object
'pen'. In the sentence 'Shaima gave me a pen', (or 'Shaima gave a pen to
me) there are two objects, 'me' and 'pen', where 'pen' is the direct
object
and 'me' is the indirect object. The indirect object is the recipient of
the direct object.
In the given sentence, the underlined words form an infinitive phrase that modifies the noun 'day', hence option A is incorrect. "Us" is the indirect object because the direct recipient is "extra day", hence C is correct. "Ruxshin ma'am" is the subject and "an extra day" is the direct object, hence options B and D are incorrect.
Note: The direct object answers the question 'what?'
and the indirect object answers the question 'to who/whom?'