In the Pyro vs Medic matchup, avoid running in straight lines. Zig Zag left and right (you move faster) and you avoid getting killed by the needle gun when its just you and the medic. Remember that the medic runs just as fast as you so if you chase him/her with the flamethrower at a distance where the fires are not burning him/her you will probably get needled to death, or the medic will run away heal and find a buddy to get revenge. Avoid narrow corridors when fighting medics. Any medic that takes out the bonesaw and runs straight at you probably has the uber-saw and is willing to risk the fire to one/two-hit-KO you.