I have a 2.5 year old DS who is on the diagnostic pathway at the moment. As others have said above, don't read too much into unconcerned nursery, they haven't a clue what they're looking at most of the time, and if they're anything like ours they "don't go looking for problems" and "don't want to label a child for life"... meanwhile labelling our DS as a spoilt little brat with a neurotic mother who hasn't got any clue how to parent.
What would really concern me here is the lack of communication from this little girl. I disagree with those above who say this isn't impairing her - it is clearly impairing her ability to do the main thing that children are meant to do at this age, which is learn to communicate.
Most 2 year olds are all about communication in one way or another. They want to show things to others, they want to have praise and look up at adults for it, they want to look at others' faces to gauge what their reaction should be when something new happens.
My DS does that kind of communication when he's feeling relaxed and happy at home, but basically doesn't do any of that social referencing away from home. He doesn't join in with other kids at playgroup except on rare occasions (where a more socially competent child will specifically include him).
We are about to start sessions with SALT and OT dealing specifically with giving him the skills to navigate social situations, and to get better at self-help skills. He is highly verbal and very far ahead in some ways (abstract concepts, language, music); but his lack of communication, reciprocity and social referencing, and his inclination to cling to baby habits because he realises he can't navigate things the way other children can, are really impairing his ability to join in and learn at nursery.
DH and I are both probably on the ASD spectrum, very mildly. I have a diagnosis (made when I was an adult), DH doesn't - we are pretty similar in terms of wiring and very mild social impairment - he had a more supportive upbringing and was labelled "quirky and intelligent", I was a girl so was labelled "weird and antisocial despite being good at school". These days, increased social pressure means that even "quirky and intelligent" is going to make life hard - so we are pursuing as much help as we can possibly get, as early as possible.