**Core Concept**
The patient's presentation of primary amenorrhea with absent axillary and public hair, normal breast development, and an inguinal hernia suggests a disorder of sex development (DSD) or a specific genetic condition affecting gonadal development and function.

**Why the Correct Answer is Right**
The combination of normal breast development and absent axillary and public hair points towards a condition where there is an imbalance between estrogen and androgen production. The presence of an inguinal hernia suggests an anatomical abnormality in the gonads. In this case, the likely diagnosis is Androgen Insensitivity Syndrome (AIS), where the individual is genetically male (46,XY) but resistant to androgens, resulting in the development of female secondary sexual characteristics despite the presence of testes.

**Why Each Wrong Option is Incorrect**
* **Option A:** Mayer-Rokitansky-Küster-Hauser (MRKH) syndrome is characterized by the absence of the vagina and uterus, but it is not associated with an inguinal hernia or the specific hormonal imbalance seen in this patient.
* **Option B:** Congenital adrenal hyperplasia (CAH) typically presents with an excess of androgens, leading to virilization of the external genitalia and male secondary sexual characteristics.
* **Option D:** Swyer syndrome is another form of DSD characterized by a 46,XY karyotype but with a female external phenotype. However, it is not typically associated with an inguinal hernia or the specific hormonal imbalance seen in this patient.

**Clinical Pearl / High-Yield Fact**
It is essential to remember that Androgen Insensitivity Syndrome (AIS) is a genetic condition that affects individuals with a 46,XY karyotype, making them resistant to androgens, resulting in the development of female secondary sexual characteristics. This condition highlights the complex interplay between genetics, hormones, and gonadal development in the development of sex characteristics.

**Correct Answer:** C.