What are some things that a new tennis player should consider when buying a racket? In this case cost isn't a factor and the player has no idea what to look for.
For a brand new tennis player, it doesn't really matter too much. Since they're new to the sport, they haven't developed a playstyle yet, and so it's impossible to know their strengths and weaknesses, their likes and dislikes, all of which are vital information in choosing a racket.
That being said, we can make some generalizations. Newer players are generally recommended to start with lighter rackets with a larger head size (~110 sq in). Lighter racquets are easier to swing, and a larger head size allows for more leeway in striking the ball, since the contact surface is larger. Start from there and work your way forward. Once the player starts to get a solid hold on the fundamentals and develop their own playstyle, then they can move forward with selecting a more personalized racket to suit their needs