20 Year Old Girl, Accommodation Needed

I am an exchange student from America looking for a furnished apartment to rent or share for the fall semester at the University of Iceland (August to December). It can be a single room, or a shared apartment. It would need to be close to the university, or on a bus line that goes to the university. I am a serious student who doesn't smoke, and will help keep any shared spaces neat. Looking for something at 800 euro or less.