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Okay...
I'm very relaxed and confident myself though.
It's just my inner game that is struggling.
This is contradictory. You can't be relaxed and confident while simultaneously struggling with inner game. It's one or the other. I think you are taking something that is not a problem and making it into a problem. Wanting your girlfriend to display insecurities as a way of side-stepping your own is a counter-productive approach and it wont help you in the long run. Do your best to work through the core reasons you feel insecure and hopefully get a handle on them.
In the meantime, you should be rewarding your girlfriend's behavior instead of worrying about it. Praise her for being so cool and laid back; she sounds like one of the good ones.
-Wolf