I have already posted to say it is not a given thing that the OPs dd either needs or would benefit from counselling.
Now I will put the other side.
Ime there are situations where a counsellor can definitely offer something that a loving family can't.
A kind and loving child who feels herself loved may well be reluctant to reveal the dark thoughts she is having to somebody who cares more about her than about anything and who could be very upset. There is also the consideration that once you have said something to somebody you are going to have to live with, they may remember it for ever afterwards and interpret everything you say and do in that light. If the depth of your unhappiness makes them feel inadequate they may resent it.
A counsellor is someone who will listen but cannot be hurt.
When my friend had terminal cancer she arranged for her children to have counselling at school, because she understood that it would be extremely difficult for them to talk either to her or to their grieving father about how badly they were suffering.
When dd had attempted suicide she felt so guilty about it that it was hard for her to talk to me or her dad about it.
How do you talk to the person who loves you most about the fact that you wanted to die? How do you talk to your mother who is dying about the fact that you feel her illness is ruining your life and that you are angry with her because she is not going to be there for you?
For those wondering what people did in the past, there is plenty of evidence that societies have always had somebody whose job it was to deal with grief or stress that was beyond what the individual family could cope with. That is what your father confessor did in Medieval times (if you trusted him): you told him things in the deepest confidence that were too difficult or too hurtful to tell your parents or husband. Later on, the vicar and the vicar's wife often filled a similar function. I imagine in primitive societies that the local schaman might have filled a similar function.
There is also plenty of historical evidence of people being so traumatised by horrible events that they took a long time and lots of support to get functioning again. In the Middle Ages, this kind of treatment was often supplied partly by confession, but partly by pilgrimages- if your friend had died horribly you could make a pilgrimage for his soul and get support from the appropriate saint (and presumably from his priests).
Some Holocaust survivors had counselling. And not all of them were able to get on with their lives: some suffered trauma and flashbacks for the rest of their lives.
Not saying that the OPs dd is necessarily in a place where any of this is necessary. Just that some people are. And that people do not really change much from time to time.