I'm so glad you are defending your Home Start worker. I don't know what else she was supposed to say either, that would have been the honest answer you had asked her for! That said, lots (perhaps even most) two year olds don't really socialise with peers yet, so two is really too young to be able to hope to get an accurate diagnosis of Aspergers. I say hope, only because if she does have it, then as has already been said, the earlier it is diagnosed, the easier her life will be. I don't think, however, that there is any point in chasing a diagnosis at this very young age, as I cannot think you would succeed, even if she does have it. You might want to read up on it, but only if you think you'll be reassured by greater knowledge, and not just worry more. Depends on who you are.
I have Aspergers, and have four children who all have some features of Autistic Spectrum Disorder, including one with Aspergers, and one with high functioning autism. I really had to fight to get a diagnosis for my DD1 at age 7 of Aspergers. It is heavily underdiagnosed in girls. I had to insist on a second opinion. I remember once that she hid in a wardrobe when I invited two class mates round to play. I learnt that she could cope with one child, but not with two at once.
Don't beat yourself up about not having been able to provide many social opportunities for your DD. She is still very young. If it's very difficult for you to manage, and unrewarding for your DD, I wouldn't worry about it. She'll have lots of opportunities soon enough. My DD just used to stress when very young, but coped much better when older. Just practice lots of turn taking games with her at home, as the ability to take turns is both necessary for conversations, as well as the most important skill for little ones to play together well.
I would also suggest that you encourage all forms of communication, and not insist that she be verbal. I bought a book on Signing for babies, and found using a few simple signs encouraged progress in speaking too. Always acknowledge that you understand her, however she communicates - even if it just by her facial expression. I remember following the then current advice to encourage my DS (with autism) to speak by pretending I didn't know he wanted a drink when he tapped the dishwasher (for his favourite cup). He found it very frustrating and immensely upsetting, and simply withdrew.
My DD1 is now 22, just graduated and going on to do a Masters. She has friends, and is very happy in a relationship. The day she got her diagnosis was a good day. She was still her, but with added understanding!
Who knows whether your DD has Aspergers or not? We can't tell you. I hope not, as it can't be denied that life is much easier without it. It really is too soon to tell. There is a good chance that she hasn't. Try not to worry too much!