WebMD explains that the color of your eyes may affect your health in a number of ways. Rachel Reiff Ellis explains:

What Eye Color and Shape Say About Your Health

• Eye Cancer
  Got blue, green, or gray eyes? You’re more likely than your brown-eyed friends to get a specific cancer of the eye called uveal melanoma. Your chances are still low, though — only 2,500 people in the U.S. get it each year.
• Trustworthiness
  Researchers found that people tend to rank brown-eyed faces more trustworthy than others. But the study went on to say that facial features common to folks with brown eyes were more likely to give people feelings of trust.
• Blood Sugar Issues
  While more research is still needed, a 2011 European study suggests that a combo of blue eyes and fair skin puts you at a higher risk of getting type 1 diabetes.
• Hearing Loss
  Studies show that in a loud environment, brown-eyed people have less hearing loss than people whose eyes have a blue hue. It’s believed to be because brown-eyed folks have more melanin (the pigment that gives your skin, hair, and eyes their color) in their eyes and ears. That gives them a bit more protection when noise levels go up.

Read more here.