In this exercise you have to choose the correct pronoun.
The sentence says El médico ___ examina la garganta pero yo no ___ examino la garganta. So the best option to complete the blank is letter "C" because we require a singular second person pronoun like "le" and in the second sentence we requiere the first person singular pronoun "me".
So the correct version would be El médico <u>le</u> examina la garganta pero yo no <u>me </u>examino la garganta.