**Core Concept**
Stye, also known as hordeolum, is a type of suppurative inflammation that affects the glands of the eyelid, particularly the sebaceous glands or the sweat glands. This condition is characterized by the formation of a painful, pus-filled nodule on the eyelid.

**Why the Correct Answer is Right**
The correct answer is related to the anatomy of the eyelid, which contains multiple glands, including sebaceous glands and sweat glands. The sebaceous glands produce sebum, an oily substance that lubricates the eyelid and surrounding skin. Inflammation of these glands can lead to the formation of a stye. The correct answer is specific to the glands involved in this condition.

**Why Each Wrong Option is Incorrect**
* **Option A:** This option is incorrect because it does not specify the type of gland affected by the inflammation. While the eyelid does contain other types of glands, such as mucous glands, the question is asking for the specific type of gland associated with stye.
* **Option B:** This option is incorrect because it is too broad and does not specify the type of gland involved. The term "glands of the eyelid" is too general and does not provide a clear answer.
* **Option C:** This option is incorrect because it is not specific to the glands involved in stye. While the eyelid does contain blood vessels, inflammation of these vessels is not the primary cause of stye.

**Clinical Pearl / High-Yield Fact**
It's essential to note that stye can be caused by bacterial infection, particularly Staphylococcus aureus, and can be treated with antibiotics. However, in some cases, stye can be a sign of an underlying condition, such as rosacea or seborrheic dermatitis.

**Correct Answer:** Meibomian glands.