Is it wrong of me that I don't want to date bisexual girls?

Anonymous
I have a friend who i thought was a lesbian until yesterday she confessed to me that she has had a crush on me and wants me to ask her out, i told her i thought she liked girls and she responded by saying she is bisexual and likes girl and boys both, I calmly turned her down and said i wouldn't be comfortable dating anyone other then a completely straight girl, she got offended and told me and said I'm and asshole for discriminating. Do you think i'm in the wrong for having a preference of straight girls over bisexuals?
Is it wrong of me that I don't want to date bisexual girls?
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