(First... have you been updating your WP promptly when updates are issued? I assume that you have but just askin'.)
If you have a tiny site with very little traffic this host might be OK. However....
Be careful as they offer: "UNLIMITED GB of Site Transfer" (their CAPS, not mine).
With this type of offer once your visitor counts get up to a few thousand per day you might see service outages because instead of throttling your BW they instead limit your "processing units" or some other parameter.
UNLIMITED BW is often true but there will be another variable that will throttle your site.
Some sites require a dedicated server and terrabytes of BW per month. No host will give you that for $6.95/month.