I have a class whose sole purpose is to decide, based on a setting, whether to call A) a business layer using a WCF service first or B) the business layer directly.
What is the naming convention for a class the is just a redirector. I was thinking either using "Wrapper" or "Controller" in the class name.
Why not simply call it Redirector? Good description of what it does, and you don't use overused terms like "Wrapper" or "Controller".
At the simplest level, what you are describing is a proxy to your business layer.
As it is directing the dispatch of your remote method invocation, you could call it a dispatcher or director. However, I would expcet something called 'dispatcher' to actually send something to a destination (such as a work unit, or piece of data) and not block waiting for it to complete.
Here are some other good choices.
Come up with a few good candidates and start plugging them into your favorite thesaurus to get alternate ideas.
I've used façade for classes like this - though I prefer to just let the business layer itself handle the decision when possible.
This sounds somewhat like a Service Locator to me.
That being said, I can't help wanting to name it The Decider.