Now, before you close this thinking it's a bad idea, let me explain:
I've been recently started playing on Tf2 Center and almost everytime I play I'm with my cellphone nearby, so I thought it would be cool if you could just start with your phone instead of going on and opening your browser because it's a longer process.
Obviously, the game should start with the same account you're logged in, I spoke with a few friends and they told me that would be cool as well.
I'd love to hear a response to this, have a nice day everyone!