Oooh that's SO like my older DD. Her teacher in reception told me she would not even get up for a new crayon or ask for anything she needed!
My DD is now 10 in year 6, she is absolutely fine with a capital F. I like you worried SO much about her. I moved her schools in year 3 and for a whole year she was anxious and struggled to make friends. Her teacher helped her by organising old fashioned circle games at playtime and she sometimes made my Dd be "the games master" which meant DD had to hold the game cards and choose who played what part...so for eg in The Farmer in the Dell she'd have to say "You're the farmer, you're the wife" and so on.
it was a brilliant and safe way to make DD interact more.
she has a lovely group of friends...all quiet and studious like her...there are 3 girls and 3 boys in her "gang" and I am just so relived that she seems to be happy socially when for many, year 6 can be a bit tricky.
I would advise you to speak to her teacher about helping her without making her stand out....ask the teacher how she is interacting at playtimes...or...do as I did and go and spy!
Yes it's a bit loopy but you do get a good idea of the truth of things.
in my DDs case, in her new school it was a bit awful as she was standing alone by the railings all playtime, rubbing her arm up and down them! She was so anxious about making friends that even when the others asked her to play, she just couldn't!
After seeing that I was upset and used to check her sleeve for dirt as if her coat sleeves were black then I knew she'd spent playtime rubbing her arms on the railings!
It went away after a time...and I didn't go overboard on the playdates as I found them exhausting and she still wasn't confident enough to ask girls over.
Somehow she just began making friends, her school changes their tables every term so they get a chance to work with all of the children and she gradually found her niche.
Your DD is still so little and social skills just don't come easily to them all.x Definitely speak to her teacher about it and ask how she is at playtime.