Sports Player, Professional Athlete
Remember that 手 can refer a "person" in some words? Well this is one of them. In this case, we have choose person, or perhaps a better way to think of it is like "chosen person." One situation in which you'd choose a person to do something is in sports, like in a schoolyard pick. Keep that in mind and you should be able to remember that this means pro athlete or sports player.
The reading for 選 is what you'd expect. 手 is the on'yomi reading as it is every once in a while, especially when it has to do with representing a person, so you'll have to remember that. I think you've seen 手 using this reading enough to be able to remember it, though.
Who is that handsome pro athlete?
These days, we can often see Japanese professional baseball players play in the major leagues.
Koichi is magnificent pro kendo player.