Well my mother has Type 1, shes been living with it since she was 12. So I've been giving her shots since I was like 6 or 7, so my fear of needles vanished the day I realized: "Hey my mom does this everyday, and I'm a boy and I can't do it? Time to be tough mister." (I'm paraphrasing using my 6 year old logic) I quickly got over the fear, and now that shes much older, and although can giver herself shots still, its more difficult with some of the problems that come with being diabetic for 30 years (loss of sensation in the extremities, retina degeneration which made her partially blind, etc.) I still help out whenever I can, but my dad's still more then capable of helping her, which is a great thing to have.
If you talked to my grandmother, she could give you some insight on whats to come though GRDad luckily I have had such a great teacher when it comes to handling a type 1 diabetic. Can't beat her level of experience Luckily with today's technology your daughter is going to come out much better. diabetic training in the 60s and 70s was much less sophisticated then it is today.
Knowing what my mom goes through, and has gone through for so long makes it much easier to give blood, take IVs, etc. I once was giving blood, and they couldnt get my veins to go and they said "we can put it in your hand if you like" and I said "letter rip!" imagine sticking a needle between your bottom index and middle finger knuckles... didn't even bother me a bit