The correct option is D if
A clause is subordinate when it depends on the main sentence for its full meaning. Here, "Would Tim mind" is a subordinate clause, which depends on the sentence for its meaning. That sentence is condition related, the condition being "I borrowed his bicycle without asking him?". Hence the conjunction 'if' is the appropriate answer, 'if' means "on condition that", thus option D is correct. "Therefore" is a coordinating conjunction used when two sentences are independent and don't rely on each other for its meaning, since the given clause in the interrogative sentence is subordinate, 'therefore' isn't appropriate, option A is incorrect. 'While' and 'when' are conjunctions used for time related sentences, as the given clause and sentence is not time-related, but condition-related, options B and C are incorrect.