Hi, I'm so sorry for your/your DD's loss
. What a terrible thing to be dealing with.
I'm no expert but have dealt with similar in the past - I think the thing to remember is that there is really no such thing as a 'normal' response to bereavement in a child, or rather almost any response is 'normal'. Children really have a hard time processing the finality of death and often seem quite matter of fact about it and unbothered at first, even if it was someone very much loved. Certainly I would say an 'adult' response of lots of tears and obvious, overwhelming sadness is less usual - that requires not only understanding of the fact of the death but also the emotional maturity to display and work through those emotions in the way we are taught to deal with/show sadness and most children, even young teenagers, really haven't developed that yet.
I think you'll likely find that a bit further down the line she'll have a lot more questions for you and also her grief will start to manifest more as she actually experiences life without the loved one and starts to process what's happened. Again don't be taken aback if this comes out in unexpected ways, things like anger, 'naughtiness', attention seeking or clinginess, impulsive behaviour, separation anxiety, general anxiety, regression to behaving like a much younger child (even things like bed wetting) are pretty common in bereaved children and are signs of grief, but can start weeks or even months after the actual event. It's a bit of a pity because everyone is usually really keen to show love and support to the bereaved child in the immediate aftermath, when they often seem to be coping fine, and then expect them to be 'over it' within a few weeks, once they are back at school etc and teachers, grandparents, carers etc can be a bit mystified when problems start occurring. But it can all be part of the process so I'd continue to show her lots of love and understanding, work with her teachers and other adults around her to ensure she gets the support she needs. I wouldn't push her to talk about her feelings and the lost person more than she wants to, but do keep dropping it in to conversation and letting her know that if she wants to talk to you or has questions she always can, she hasn't 'missed her chance' to talk about it - depending on your beliefs you can talk to her about what happens to people after they die, how we remember people that are gone, and again depending on your relationship with the person having pictures of them up in the house or available to your DD to look at and encouraging her to talk about her memories of them, draw pictures, write about them etc can be really helpful to help her grieve. Later down the line some bereavement counselling might be useful for her... Children are really resilient especially where they have a strong base of a parent who really loves and cares for them so please do be reassured she will be OK and get through this, look after yourself as well, you don't say what your relationship to the person was but if they were important to your DD they'll have been in some way in your life too, it must have been an awful shock and so do take your own time to process your own feelings too, even if those are mixed and complex in fact particularly so if that's the case. 