I don't think it is a lack of faith at all.  We are all scared - whether we admit it or not.  It's part of our nature.  I know that the more I pray the less I fear.  The less I pray the more I fear.
It really helps me to ask the Lord specifically to comfort me and ease my fears, and let Him know that HIS WILL BE DONE.  I rest so much easier knowing 
He has a plan, and we are all included in His plan. 
