You can ask the hospital to give you a certificate that recognizes what you have stated. The hospital will provide you with a certificate recognizing your statement. This belongs to the hospital to you compensation or compensation measures, need to be negotiated between the two sides to determine. You can propose, but the hospital can agree or disagree.
2, if the hospital did a medical examination of the nurse said she did not have a blood-borne infectious disease, then the hospital has no liability to me in addition to apologizing? Also, can I request that the nurse and my daughter be examined at another hospital?
Based on the facts you have stated, the nurse's behavior did violate the relevant diagnostic and treatment norms, and she was at fault. But the law provides that the at-fault party to the other party due to fault behavior caused by the loss of compensation, now see you do not have the consequences of the damage, therefore, the demand for financial compensation has no factual basis, according to the provisions of the General Principles of Civil Law, the hospital can bear the civil responsibility to make amends and apologies and so on.
3, if I bet that my daughter will not be infected, but in order to export anger, in order to ask for an explanation,, how can I maximize my interests? If I only ask for compensation, how much should I ask for?
In your case, since there are no clear consequences of the damage, it is recommended that you negotiate with the hospital and sue to your detriment. In the negotiation process you proposed compensation amount to you think you can accept prevail, there is no clear regulation, of course, ultimately to the amount of the two sides of the negotiation shall prevail, but I personally think you can get compensation, after all, the hospital's reputation is very important.