The correct option is A lest you should get indigestion
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.).
Option A is correct because it is an
adverb clause of purpose, 'lest...should' is a pair of
conjunctions that refers to purpose: 'to avoid getting an infection'.
Option B is incorrect because it contains a coordinate/independent clause ('and' is a coordinating conjunction) whereas an adverb clause is subordinate/dependent.
Similarly, option C is incorrect because it is a coordinate clause.
Option D is incorrect because the answer lies in A.