Girlfriend staying silent for this. What should I do?

LDR temporarily. Yesterday we had a small argument and i was upset. My sister saw I'm upset and asked if something happened. I said nothing and she texted my girlfriend why I'm upset. (They know eachother). And my girlfriend said I always fight.. I'm a hard hearted guy and things like that.

I asked her why she told all those to my sister and had a small argument on that. I texted her 7 hours ago and again 3 hours ago. she's completely free today and have came online many times. But ignored my message..

I told her many times to try fix the problem and stop staying silent. What should I do..

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Note : we don't always fight and she stay angry for long time more than me!
Girlfriend staying silent for this. What should I do?
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