**Core Concept**
In maxillary carcinoma, the initial lymphatic drainage involves the lymph nodes of the face, specifically those located in the vicinity of the tumor's primary site. Understanding the lymphatic drainage pathways is crucial for diagnosing and staging maxillary carcinoma.

**Why the Correct Answer is Right**
The first lymph node involved in maxillary carcinoma is typically the **submandibular lymph node**. This is due to the fact that the maxillary sinus is closely related to the submandibular region, and the lymphatic vessels from the maxillary sinus drain directly into the submandibular lymph nodes. The submandibular lymph nodes are situated under the jawline, anterior to the sternocleidomastoid muscle, and are responsible for draining the lymph from the face, including the maxillary region.

**Why Each Wrong Option is Incorrect**
**Option A:** The **supraclavicular lymph nodes** are involved in the drainage of the lower neck and thorax, but are not the primary site of drainage for maxillary carcinoma.
**Option B:** The **parotid lymph nodes** are involved in the drainage of the parotid gland, but are not the primary site of drainage for maxillary carcinoma.
**Option C:** The **cervical lymph nodes** are involved in the drainage of the neck, but are not the primary site of drainage for maxillary carcinoma.

**Clinical Pearl / High-Yield Fact**
It's essential to remember that the lymphatic drainage of the maxillary sinus is closely related to the submandibular lymph nodes, and that involvement of these nodes can be an early sign of maxillary carcinoma.

**Correct Answer:** D. Submandibular lymph node