Two is young, but as some have said not too young to begin the diagnosis process. It could be that something other than ASD could be flagged up, in which case you'll be getting some valuable advice in how to deal with them.
It could be that she's just going through a developmentally normal 'phase'.
If she does flag up as having ASD or something else, you'll be getting help you need early and it may help a lot with later life.
There's a lot of high functioning autism (both diagnosed and non-diagnosed) in my family. My two sons are (diagnosed) Aspie/HFA. Both have friends, enjoy different activities, do very well at school and will probably have a good life. They love me and show me in lots of ways, and they have a brilliant imagination and a (geeky) sense of humour. Do they have problems? Most definitely! But life is not without problems, and they face them courageously and we find a way to get through and learn.
My cousin (almost definitely an aspie) didn't talk until he was four, and his first words were when he asked what a phrase on a label meant (having taught himself to read). Turns out he just didn't see the point in talking until that point. Fast forward to now, and he has a first class degree from a Russell group uni, a lovely girlfriend, and a job he loves. He has something around 400 (!) friends on Facebook. No, I don't think they're all bosom buddies - but he talks to people and they do like him, with all his quirkiness (maybe - dare I say it - because of it!).
My Dad recognises a lot of himself in them, as does my DH, and if I'm honest, so do I, and we've all had good lives.
I would urge you to be cautious though, because you don't actually have a diagnosis, and tbh a lot of the symptoms you've described could have a number of different causes.