O.K. then, try it this way...
1)
For this Example, I assume a Sketch of a circle on the Top Plane, and Boss-Extruded to desired shaft length. An Axis at the intersection of the Front and Right planes would coincide with the centerline axis of the cylinder/shaft (but I won't be using that here).
2)
Put a Sketch on the Right Plane, and then like you said:
"sketch the profile in 2D (which would consist of a line, 90 deg bend, line) ",
make sure you close the sketch lines at the ends, then Cut-Extrude all the way THRU in the direction TOWARDS your desired slot.
3)
Now insert a 3D Sketch (by \Insert\3D Sketch if you've never done it). Looking at your cutout portion, Select each of the line Segments on the SURFACE of the Cylinder, and hit the "Convert Model Edge or Sketch Entity to Sketch Segment" button on the Sketch Toolbar. Close the Sketch. This will be the Guide Path for a Cut-Extrude-Sweep (later).
4)
Create the a Boss-Extrude to fill in everything that just got cutout. I just did exactly the same thing I had done in the first step. Or you could repeat the 2nd step, but Boss Extrude the Profile.
5)
Before you can do a Cut-Extrude-Sweep, you also need to have a Sketch of the Profile. I made a Sketch (another one) on the the Top Plane, that would be the cross-sectional Profile of your Slot (I used a circle) where the center of the Profile COINCIDES with the one end of the 3D Sketch. Close the Sketch. This will be the Profile for the Cut-Extrude-Sweep.
6)
Now insert a Cut-Sweep (by \Insert\Cut\Sweep if your button isn't active on the Features Toolbar). Select the appropriate Profile and Path Sketchs and there you go!
Not the pretty'est, but it should get the job done.
Ken