**Core Concept**
Adenomyosis is a gynecologic condition characterized by the growth of endometrial tissue into the uterine wall, leading to menorrhagia (heavy menstrual bleeding). Medical management typically involves NSAIDs and hormonal therapy, but in cases of non-response, surgical intervention may be necessary to alleviate symptoms.

**Why the Correct Answer is Right**
The next step in management would be to consider a surgical procedure to remove or reduce the affected uterine tissue. This could involve a hysterectomy (removal of the uterus) or a more conservative approach like a partial resection of the uterine wall. The goal is to eliminate the source of the bleeding and alleviate symptoms. In this case, a hysterectomy may be the preferred option, especially in a perimenopausal woman who may not desire future fertility.

**Why Each Wrong Option is Incorrect**
* **Option A:** This option is not specified, so we cannot evaluate its correctness. However, it's essential to note that medical management with NSAIDs and hormonal therapy is already being used, so a change in pharmacological treatment would not be the next step.
* **Option B:** This option is not specified, but if it involves a more conservative approach like uterine artery embolization (UAE) or endometrial ablation, it may not be the most effective option for adenomyosis, especially in cases where medical management has failed.
* **Option D:** This option is not specified, but if it involves a less invasive approach like watchful waiting or continued medical management, it would not be an appropriate next step given the patient's non-response to current treatment.

**Clinical Pearl / High-Yield Fact**
In cases of adenomyosis, surgical intervention is often necessary when medical management fails. A hysterectomy may be the preferred option in perimenopausal women, especially those with significant menorrhagia and a desire to avoid future fertility.

**Correct Answer: D.**