My 3 year old girl is very shy, she doesn't like people look at her, if so, she will close her eyes ot refuse to continue journey if we are outside ?

Shyness in toddler: This kind of behavior, especially if it has gone on for more than several weeks, is outside of the normal range. Consulting with a pediatrician would be a good idea. Sometimes kids develop reactions like this in response to a specific event that scared them, in which case it should pass after a few weeks. But if there is no known trigger event and it is persistent, see an md.

Hmmm: Shyness has been found by kagan to have a strong genetic component, but learning is also important. Your daughter does need to learn to tolerate being among strangers. If it is difficult for you to tolerate your daughter's discomfort, a child behavior therapist can teach you "graduated" techniques that can relatively painlessly shape your daughter's emotional responses to strangers. Good luck!