Re: sensitive parents alert
Not necessarily.
I’m a fluent punjabi/urdu speaker since infancy; along with English and somewhat french/arabic. When I talk to any different ‘groups’ I am mingled with them like I am part of that herd. Social skills are not associated with different languages/groups.
Do some activities at home to overcome her shyness.. Encourage her to look at people when speaking…
For instance she is 4, so at that age some kids are shy or try to hide behind a parent, play a game with her such as, draw a picture together that looks like eyes and stamp it on your forehead - That way its a fun way learn to make eye contact in the most non-threateneing way, the point is, the sooner she makes eye contact which is good manners as it is, she will ‘listen’ and when she listens she will be able to communicate better with her peers and the friendships will form naturally
And have fun with this new going to school routine, if your kid senses your anxiety and ‘heart breaking’ she will have a very hard time adjusting to school. Remember school is fun and happy 
Good luck.