one lady passed on me because I have different accent. Can American women be turned off by accent?
I don't know about American women as I am Dutch, European. But I can sure as heck be either turn off or feel more attraction based on someone's accents. Some are too unpleasant. Which ones are unpleasant and which ones are attractive/sexy is very personal.
Not just the accent btw, also the voice itself. I once had a guy on the phone and knew the second I heard his voice I could not ever be with him. It was the most annoying high-pitched voice you can possibly imagine.
My ex on the other hand had a great voice. The second I heard it my knees buckled and my core melted. We hadn't met yet, the effect was amazing.
And that included his accent btw. Timbre, intonation, just everything.
So yes, it is important and yes, it can turn someone off.