noun. The quality of being insurable.

noun. the quality of being insurable; the conditions under which an insurance company will issue insurance to an applicant (based on standards set by the insurance company)

"We also know that when confronted with any illness, the more information you have, the more capable you will be in making decisions that can ultimately have an impact on a patient's healthcare and long-term insurability as well as your financial stability."

eligibility  

instability