**Core Concept**
The child's presentation with a congenital inguinal hernia at 6 months old is indicative of a patent processus vaginalis, which is a failure of closure of the peritoneal diverticulum during embryonic development. This condition requires prompt surgical intervention to prevent incarceration and potential complications.

**Why the Correct Answer is Right**
The next step in management is to perform an elective herniotomy, which involves surgically closing the patent processus vaginalis to prevent further complications. This procedure is typically performed under general anesthesia in an operating room setting. The surgeon will make an incision in the groin, identify the hernia sac, and close the patent processus vaginalis to prevent further herniation.

**Why Each Wrong Option is Incorrect**
**Option A:** Reducing the hernia is not a definitive treatment and may cause further complications, such as incarceration or strangulation.
**Option B:** Observation alone is not appropriate, as congenital inguinal hernias in infants can lead to complications if left untreated.
**Option C:** Administering a muscle relaxant is not a treatment for congenital inguinal hernia and may not address the underlying issue.

**Clinical Pearl / High-Yield Fact**
It is essential to note that congenital inguinal hernias in children are often associated with other conditions, such as undescended testes or hydroceles, and a thorough examination and evaluation are necessary to rule out these conditions.

**Correct Answer: C. Administering a muscle relaxant is not a treatment for congenital inguinal hernia and may not address the underlying issue.