**Core Concept**
The question requires knowledge of contraceptive options suitable for women with pre-existing heart disease. The underlying principle is the selection of a contraceptive that does not further increase cardiovascular risk. This involves understanding the cardiovascular effects of various hormonal contraceptives.

**Why the Correct Answer is Right**
The correct answer is a non-hormonal, non-hysterectomy-based contraceptive. Progestin-only contraceptives, such as the mini-pill (progestin-only pill) or the levonorgestrel-releasing intrauterine system (LNG-IUS), are often recommended for women with heart disease. These options do not significantly increase the risk of thromboembolism or cardiovascular events compared to combined hormonal contraceptives. The LNG-IUS is particularly suitable as it provides long-term contraception with minimal systemic progestin exposure.

**Why Each Wrong Option is Incorrect**
* **Option A:** Combined oral contraceptives (COCs) are generally contraindicated in women with heart disease due to their potential to increase the risk of thromboembolism and cardiovascular events.
* **Option B:** Progesterone-only injectables may have a higher risk of venous thromboembolism (VTE) compared to progestin-only pills or LNG-IUS, making them a less ideal choice.
* **Option D:** Intrauterine devices (IUDs) that release hormones, such as the Mirena (LNG-IUS), are generally safe for women with heart disease, but copper IUDs may be a less desirable option due to potential systemic effects.

**Clinical Pearl / High-Yield Fact**
When selecting a contraceptive for a woman with heart disease, consider the risk of thromboembolism and cardiovascular events associated with each option. Progestin-only contraceptives, such as the mini-pill or LNG-IUS, are often safer choices compared to combined hormonal contraceptives.

**Correct Answer:** C.