Being an introvert is hard in a world where you are expected to be extrovert as the norm. Responding to people is like acting a part you don't want in a play you didn't chose. Crowds and parties = exhausting. I used to go and hide under the mound of coats in the bedroom and fall asleep - exit stage left!
Have you seen the book Quiet The power of introverts?
nicevase - ask her what she would like, does she want to be more confident or are you assuming things for her? All for life skills, but try not to make her into a person she isn't cut out to be. Try to meet her on middle ground - how old is she?
Having a baby who cried a lot (colic for 4 or 5 months) and never slept, then a clingy toddler made me wild with rage at times - I used to go for a good stomp so i could come back smiling..baths, books.
Used to think it was because I had a child quite late and had become very selfish. Now I think it was more like self preservation! We do need to remain sane.
I joined a writing group for grown up conversation and monthly pub trip. Other writers often had introvert sides to their character, so felt at ease.
Introverts don't hate other people, maybe we just have a low tolerance for what we perceive sometimes as noisy and slightly grating company.
I feel most myself interacting 1:1, never enjoyed group interaction as much even as child. Too many aspects of the social game to keep track of.
Now I have CFS and the energy social interaction requires is very very obvious to me when poorly. Even watching people doing social banter (a lot of which is kind of a social show, not true feelings) makes me feel like hiding under a desk with tiredness. Social stuff takes a lot of brain energy - you are watching, anticipating, fending off, putting in your idea/opinion, responding to non verbal signals, faces.
Flip side is that we tend to very much enjoy our own company which is quite nice really. Some extroverts cant bear it and seem to prefer someone, anyone, being there with them - even if unhealthy relationship/group - rather than being happy by themselves. We are all different.
I make myself socialise as am aware could get rather isolated if not, and do always feel enriched by friends of various natures