**Core Concept**
The patient's presentation of a non-healing penile ulcer is suggestive of a sexually transmitted infection (STI), specifically primary syphilis, which is caused by the bacterium *Treponema pallidum*. This condition requires prompt diagnosis and treatment to prevent long-term complications.

**Why the Correct Answer is Right**
The correct answer is likely related to the diagnosis and treatment of primary syphilis. In primary syphilis, the characteristic chancre or ulcer develops at the site of inoculation, usually on the genitals, and does not heal on its own. The patient's failure to heal the ulcer within 2 weeks is a red flag for syphilis. A definitive diagnosis can be made through darkfield microscopy or serological tests, such as the rapid plasma reagin (RPR) or Venereal Disease Research Laboratory (VDRL) tests. Treatment with penicillin G benzathine is the recommended therapy for primary syphilis.

**Why Each Wrong Option is Incorrect**
* **Option A:** This option is incorrect because it does not address the patient's specific concern of a non-healing penile ulcer.
* **Option B:** This option is incorrect because it may not be relevant to the patient's condition and may not address the underlying cause of the ulcer.
* **Option C:** This option is incorrect because it may not be the most effective or recommended treatment for primary syphilis.

**Clinical Pearl / High-Yield Fact**
A key point to remember is that primary syphilis can be diagnosed through darkfield microscopy or serological tests, and treatment with penicillin G benzathine is the recommended therapy. It is essential to consider STIs, such as syphilis, in patients presenting with non-healing ulcers or other genital symptoms.

**Correct Answer:** C.