What is the best way to approach a new cat?
If a cat is not immediately friendly, one of the best ways to approach a cat is by offering it treats.  Even timid cats can be tempted if you figure out what foods they really like.  Start with a smelly food like tuna fish or tinned chicken, or raw meat cat treats if you have them.  Don't expect the cat to approach you immediately.  Put the treat on the ground and sit nearby.  Be careful not to stare at the cat since that is an aggressive gesture.  If the cat takes the treat, try throwing or laying out another treat, this time a bit closer to you.  Repeat until the cat is nearby.  It will learn to associate you with happiness (food).