Here's how I look at it....
Shutter - set to stop or show motion.
Aperture - set for the depth of field, or how much of the photo is in focus.
ISO - the sensitivity of the sensor/film. Also, the higher the ISO, the more noise in the image.
All three are set to get the exposure wanted and the settings of each are set for what you want to accomplish.
Example, shooting some type of sports, your dog running in the yard, your kid riding past on their bicycle... You want to freeze the motion of your subject. You will want to have a specific shutter speed to freeze that motion. You set your ISO as low as possible for less noise, set your shutter speed to what you want, then set the aperture to what you want, sometimes you have a specific number and sometimes you can have a range that will work. If you can not get the shutter speed or aperture where you want them, you increase the ISO higher to achieve the S and A that you want.
With taking a portrait shot, flower shot, or landscape shot, usually you have a determined depth of field that you want and will set the aperture to a specific number. The shutter speed can be in a bit of a range that you can select, but you may not be able to achieve your image because the wind is blowing the flower, or your portrait subject may move. So, if you can't get into the range of shutter speed you want, you increase the ISO until you can.
Basically, you want the ISO as low as possible because the higher it is, the more noise you get. How much noise depends on the camera.
That's my take on it.