My brother in law fell while playing tennis 2 years ago and suffered a fracture of the radial head. A&E diagnosed it, gave him a sling and told him to take painkillers. I think he went to the fracture clinic a few weeks afterwards where they changed the type of his sling, and told him what exercises he should do on the arm. IIRC the most difficult thing he found was rotating his hand (I forget in which direction). He could drive after a bit, but wasn't able to play tennis for significantly longer, unfortunately I can't remember the exact timeframes.
Healing is pretty individual, so I'm not sure that would be much use anyway - hopefully your physio will be able to give you some useful information and GWS.