I feel my child is a little shy and wants to stay with her mommy

I feel my child is a little shy and wants to stay with her mommy. I encourage her to try things out but I feel she regularly needs support. I hope that she will grow out of this and become an outgoing young girl (just like I did). I feel that she always trying to please as she sorts her toys (19,3) and is quite good at being able to focus. She is able to get along with other kids but it takes awhile for her to adjust to them first. Similar to her interactions with adults she is quiet and shy then is able to interact with them once she has gotten used to a new individual.