The correct option is B Because she was late
An adverb clause is a group of words containing a subject and a verb,
and it functions as an adverb, by modifying an adjective, verb or an
adverb. Adverb clauses generally begin with a subordinate conjunction
(since, because, while, etc.)
Generally, while expanding an adverb
phrase to a clause, the subject is added and the present participle
(verb + ing) is changed into a verb. (If there is an auxiliary/helping
verb required, it is added.)
The underlined words form a phrase, it has no subject. Hence the sentence needs to be changed and option A is
incorrect.
Option B is correct because the subject "she" is added and the verb "was" replaces the present participle "being". Also, the adverb of cause "because" is added.
Option C is incorrect because the adverb "after" isn't relevant, it refers to time; the more relevant adverb here is that of cause.
Option D is incorrect because it is still a phrase, with the addition of an adverb.
Note: an adverb phrase may or may not contain an adverb, as long as it functions as one.