The sunny 16 rule assumes you are not using an automatic (or semi-automatic) setting such as the shutter priority setting on the 35RD. You would be shooting in manual where you set the shutter speed and the aperture yourself.
Correct exposure is based on a combination of the strength of the light, film speed, shutter speed and aperture. Lets say you figured out the settings for your subject. Now if one of those factors changes (often the light if are using ambient light-not flash), then one or more of the other factors must change to get the same exposure again. Usually you only change one factor (shutter speed or aperture).
Example: If you are shooting HP5 (400 ISO film) on a bright sunlit day with your subject in direct light, then you might use 1/500s @ f-16. If the sky becomes lightly overcast, but there are still distinct shadows then the light has dropped roughly one stop. That means you need to change the shutter speed or aperture by one stop to compensate. You could change the shutter speed to 1/250 (shutter stays open longer to let in more light), or you can leave it at 1/500 and open the aperture one stop (go from f16 to f11). What you choose depends on whether shutter speed (freezing or blurring movement) or aperture (depth of field) is more important to you.
There will be other times where your settings are in the middle of the shutter speed range and and aperture range and you have the leeway to change both shutter speed and aperture to account for change of light.
Also in this type of situation
if the light stays the same you can change both aperture and shutter speed to get another effect for the photo while keeping the exposure the same. For example you are taking a photo of a friend and you get the right exposure at 1/125 and f8. Now lets say you want your friend to jump off the ground and you are going to freeze his action in mid air. You switch to 1/500 (two stops down from 1/125) to stop the action and you compensate by opening the aperture by two stops (from f8 to f4). The exposure remains the same.
Lets say you wanted to get more depth of field for your friend's portrait. You close the aperture (lets say two stops from the original f8 to f16). Now you must open the shutter two stops to compensate (from 1/125 to 1/30). Again, the exposure stays the same.
For manual shooting, I'd print a small copy of the sunny 16 rule and carry it with you. Try this one.
http://www.fredparker.com/ultexp1.htm It is actually two charts that work together, but it will show you that for any lighting condition there is a wide variety of settings for film speed, shutter speed and aperture that will give you the same (correct) exposure.