Recently I was talking to a girl who was interested in me but I stopped because she was too attractive?
Are you kidding? Why would her attractiveness be a turn off?
She isn't the kind of girl I usually like at all. She was too beautiful and that made me nervous and insecure.
Feeling insecure about your looks is natural, but you shouldn't let it get in the way of being with someone who might be a good fit for you. Otherwise you may end up turning down someone who would be for good for you due to your insecurity.
I don't know, it might be easier to just date other people who don't make me feel that way.
It might be, but if you restrict the type of people you date you might miss out on someone great. Just because you feel insecure doesn't mean you can't date someone who you think is really good looking.