After having a CT scan the doctor should be able tell you what they see in the CT scan.
So you should get the results from the CT scan immediately after the CT scan or at least after the doctor has had time to go over and look at the CT scan results.
Then after they can tell you usually what they see and if everything is okay then they will tell you or at least should tell you that everything is okay.
However if the CT scan shows something that could be more serious then the doctor may send out the CT scan results for further evaluation.
But if the doctor comes back and tells you what they see then it may be a good thing and I've had doctors give me the results of the CT scan within 30 minutes of giving me the CT scan.