When I drive my 2009 Chevy cobalt in the rain with the AC on and to make a left turn only there is a loud swishing noise that comes from the front passenger side

Please check your floor board. You might be getting the water from a/c in your floor board. Every time I used my a/c I would hear this swishing sound from passenger side of my car. Especially when I would make a turn. I finally was going to check it and my carpet was soaked where the water was coming into the floorboard. It ended up being my a/c drain plug (for it to run underneath the car...the pool, of water you see coming from under your car in the summer) was stopped up.I had a 2000 Buick Regal to do this. Hope this helps and is simple.