It turns out that fearing an early death can actually increase your risk of having one.
Death anxiety outside of cancer patients can lead to a three to five times increase in cardiovascular disorders.
While a slight fear of death tends to motivate us to work hard to maintain our health, higher fear levels cause stress to our systems that can bring it on earlier.
Sources:
http://www.huffingtonpost.com/2013/12/02/shorten-life_n_4277189.html
http://thebull.cbslocal.com/2014/10/22/new-10-things-that-shorten-your-life/