Which of these terms is the amount money you must pay each year to cover your medical care expenses before insurance policy starts paying?

The correct answer is deductible.

A deductible is a set amount of money that you must pay out of pocket before your insurance company starts to cover the costs of your medical care. Deductibles can be applied to different types of medical expenses, such as doctor visits, hospital stays, and prescription drugs. The amount of your deductible will vary depending on your insurance plan. Some plans have higher deductibles, while others have lower deductibles.