I am feeling sad for DD and not sure what to do

DD will be 3.5 years old come January. She is in her second year of nursery school at the same school. In public or if she doesn't know you, she looks very serious and will not crack a smile. She is shy and doesn't initiate play with another child. She will play with children one on one at our house or someone else's for a play date and then she is very open and happy.
She goes to school 3 days a week from 9:30-12. Last year she did the same time just 2 days a week. She is still crying when I drop her off but she stops after 2 minutes. Last year it lasted not even a month. She doesn't really want to play with anyone and never looks happy when I peak or if I go to pick her up and she didn't look up to see me. Her school picture, she looks so sad and there is no smile.
This is a picture the school took durning the day for there Thanksgiving feast and it just makes me sad.
I spoke to the teacher about her socialization and she suggested I do more playdates with some girls in the class. I will do that, but I really think the problem is the teacher. DD NEVER talks about her, ever, only the aide. I think the teacher is a little rough around edges for 3 year olds. She doesn't have a calm voice. My DD was so sad at the end of last year because she loved her teacher and her aide.
I was thinking about switching teachers but I am not sure it is worth it. There is one more class for her age and time, but I do not know the teacher the teacher. My other option is to pull her out 3 days and put her in 2 days and then she would have the same teacher at DS did. I really liked her and DD knows her. If I did that then I would be going to the school everyday and come April with baby #3 is born, that is not something I am going want to do.

I am not sure what to do or how to make DD feel better about school. She doesn't cry that she doesn't want to go, which is good.

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Re: I am feeling sad for DD and not sure what to do

It;s so hard when you can't get in their little heads

Does she communicate with you at all about her day ?

My DS had a little girl in his pre-k class
( for 2 years in the 3 & 4 year old program)...She was very shy and withdrawn in school ( their teacher was also a little rough, though I ldid like her)
Her mother was having major anxiety over how kindergarten would be this year and amazingly , over the summer she suddenly blossomed into a little social butterfly ( she's at our bus-stop) ...So it very well may be environmental and temporary...

I would definately try to arrange some playdates with a couple of the other children ( one on one or a small group) , because maybe is she has a "buddy" it may ease any anxiety she is feeling