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Comment by schoen
That speech is expressing an awesome idea: Juliet is saying that she loves Romeo-the-person, but she is terrified of her bad luck in that he happens to have a certain surname ("Montague") which will automatically cause her family to hate him. Which, indeed, they do. It's basically something like "why did I fall in love with such an inconvenient person?", together with "why does my family care so much about this thing that I'm not sure needs to matter?".