Final answer:
The sentence in question is a Complex Sentence since it has one main clause and one dependent clause.
Step-by-step explanation:
The student asked whether the sentence "If it was not for the fairy godmother and her magic wand, this story would not have had a happy ending." is a Simple Sentence, a Compound Sentence, or a Complex Sentence. This sentence contains one independent clause and one dependent, or subordinate, clause (introduced by the word 'if'). Therefore, the sentence is a Complex Sentence as it has one main clause that can stand alone and a dependent clause that cannot stand alone as a sentence.