Have you any other children that she can learn from, ya know if she sees you cuddling other children, she will realise this is pretty normal.
Is she having withdrawal symptoms for birth mum?
Do you know what little princess has been going through pre-adoption?
Only you can help her, you're all she's got,but I would have thought you would have got some support from adoption agencies. Unless you didn't have to go through the barage of questioning and processing to be accepted as adoptive parents, with it being family I don't know what help you have had.
Can the health visitors help you?
I can't imagine whats going through the little princess's head, it must be very strange for her, only time can heal any hurt she is feeling, with alot of support and love from you/loved ones.
Open speaking, being truthful, letting her show her feelings, whatever it takes, I know drawing or painting, running in an open space, the feeling of being able to express herself freely might help?
Not toooooo many questions, like 'are you alright' (that continual feeling that she will think 'am I alright')
Encourage her in jobs around the house and in general, and guiding her to make her own decisions, praising and star charts, anything that will give her confidence, because I should think that will be her main hurdle at this moment.
She will cuddle when she is ready, it comes with time I should think, and lots of it. then again most girls are more independent than boys, boys are more cuddly (in our family anyway)
I don't know if she is old enough yet to be thinking why? why? is my mmummy not around? I don't know you're predicament, so she should I'd have thought only being two, adapt to her new surroundings.
Don't know if I have been any help, it must be hard for yourself aswell so don't be too hard on yourself, and don't be frightened of asking for professional help, just because you are an older parent (like myself) people automatically think you know or should know what your're doing.
Good luck to you and your little princess