Loose Rudder

Hi guys.
We were out at the lake on sunday cruising around and hit a branch/log. Right afterwards, I felt a lot of vibration coming from the back. I stopped, jumped in the water to check out the rudder/propeller. There was a small piece of wood stuck to the propeller. I pulled this off the propeller and it solved the vibration problem. But, I noticed the steering wasn't right. I noticed I had to turn the wheel all the way to the right (clockwise) just to keep the boat going straight. When I got home, I checked the rudder and noticed there's quite a bit of slack when I wiggle it. I think I loosened/broke something when I hit that log.
Question-is there suppossed to be any play in the rudder? If not...how do I tighten this back up?

Chris-thanks for your reply.
The wheel was not tight before hitting the log. In order to go straight I had to hold the top of the wheel at the 9 oclock position. When I let go the boat would drift to the right pretty quickly.

no the clamp block is forward of that and mounted to the stringer. Just make sure that the tube isn't sliding within the clamp block when the rudder is moved. Doesn't sound slike the cables bad just way out of adjustment on the clamp block/tube area of the cable.

what year and model by the way?

Update-clamp block is tight. There is no movement of the tube when the rudder moves. Also, the steering wheel moves immediately with rudder movement. So after checking all this I took the gas tank out and checked the rudder mount. I loosened the bolt that holds the clamp that secures the rudder and took the rudder out. No damage seen. I installed the rudder back and tightened everything up. This took the extra play out of the rudder. I guess the problem is solved. I'll do a lake test this weekend to see how she steers. I hope that was it.