**Core Concept**
The question is testing the ability to identify paraneoplastic syndromes associated with renal cell cancer. Paraneoplastic syndromes are remote, nonmetastatic effects of cancer, often due to substances produced by the tumor. **Renal cell carcinoma** can cause various paraneoplastic syndromes.

**Why the Correct Answer is Right**
The correct answer is related to the specific paraneoplastic syndromes associated with renal cell cancer. **Acanthosis nigricans**, **amyloidosis**, and **polycythemia** are all recognized paraneoplastic syndromes in renal cell carcinoma. **Polycythemia** is particularly notable as it is caused by the production of **erythropoietin** by the tumor.

**Why Each Wrong Option is Incorrect**
**Option A:** Acanthosis nigricans is a paraneoplastic syndrome that can be seen in renal cell cancer, making it an incorrect choice.
**Option B:** Amyloidosis can also occur as a paraneoplastic syndrome in renal cell cancer.
**Option D:** SLE is not typically considered a paraneoplastic syndrome of renal cell cancer, but rather an autoimmune disease, making it the most likely correct answer.

**Clinical Pearl / High-Yield Fact**
A key point to remember is that **polycythemia** is a well-documented paraneoplastic syndrome in renal cell carcinoma due to **erythropoietin** production. Recognizing the association between specific cancers and their paraneoplastic syndromes is crucial for diagnosis and management.

**Correct Answer:** D. SLE