Can I break a rental lease if I have a sex offender living next door to me?

Question Details: I have 2 girls and moved out of my old place a month early because a sex offender lives next door. My oldest daughter overheard a conversation about him and began to have panic attacks at night because she was afraid he would come into the house at night. I had to move to provide a safe home for my children. When I told my landlord she said she had no idea he was a sex offender or that he was living there. I'm the only rentals with children and would think it would understandable for me to leave. She refuses to let me out of my lease a month early and has asked me to pay my rent for next month. Important Notice