Hi Welcome. I know you must be so worried for your daughter.
Please don't get me wrong, I am not a hard nosed so and so and I really feel for you and your daughter. Even if you had taken your daughter to the doc the very first day she became ill , ok she may have felt better sooner but nothing else would have changed. You could not have prevented your daughter from becoming T1, nor did you do anything to cause it!!! My understanding of T1 is that it is auto immune, for some reason the bodies defence system mistakes certain cells in the pancreas as foreign bodies and destroys them.
Thankfully diabetes is a manageable condition. The problem with youngsters is , you have growth spurts and hormones to deal with that makes control difficult.
I hope we can help you through this grieving period and help you feel better in yourself , as I know only too well (for different reasons) no amount of being told you need feel no guilt actually works, you need to see it for yourself and if you give us a chance we can help with that.