Hi there!! I am left-handed and I do have to admit, I do find some things difficult - I'm a bit clumsy with scissors and can openers, but I think practise has made (nearly) perfect ifyswim!!?
I found learning to write a real chore because we all had to use cartridge pens at school and it took me yeeeeears to learn to write without smudging across what I had written (I now write rather awkwardly, with my left hand curved over the top of the paper, if you can imagine that!!?)
I have not suffered because of it though - my teachers at school were always very understanding and invested lots of time helping me to learn to over-come the things I found difficult.
I now have decent hand-writing and I don't find anything a problem - except when they stick those blasted biros in the bank on the wrong side - and I do love my left-handed cheque book!! 
My DD1 (2.4) is defintely going to be a leftie like me, bless her, but I am hoping that having a leftie parent will be a help to her (both my parents are right-handed, as is the whole of my family, my dad was adopted, so I think that must be where it came from!!)
Your DD2 will be just fine hasbean!! 