My half sister doesn't want to talk to me, should I cut ties or try to accept things as is?

Everytime i try talking to my half sister on Facebook she always rushes off. Her excuses are:she's babysitting, with her boyfriend, or with her friend. Why can't she do all that and take time to communicate with me. She can her best friend or her boyfriend but why not her brother? Don't get me wrong im not against her having a boyfriend or being with her friends but she needs to try to talk to me and have a good familiar relationship with me not try to shut me out. What should I do?
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@EmpatheticLady any words of wisdom
My half sister doesn't want to talk to me, should I cut ties or try to accept things as is?
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