Since Leukemia is a blood-borne cancer, it circulates right in the path of the chemotherapy. It is not in some remote, difficult-to-access tumor that builds a membrane to keep the chemotherapy out. It does not receive only a portion of the drug, but rather, the full effect. Thus, leukemia and the other blood-borne cancer (the various lymphomas) have the potential for rapid response to therapy. When diagnosed, I had "innumerable" tumors - lymph nodes that had been taken over by cancer cells, as well as cancer in my bone marrow. After two months of intense chemotherapy involving eight drugs, there was no evidence of disease either by PET or CT scan.
As to AML, it tends to be aggressive and may relapse - behaving similarly to a T-Cell Lymphoma. I would ask doctor if it is a good idea to harvest and bank your daughter's blood stem cells for a potential stem cell transplant should the disease ever relapse. Praying that it does not, but having a plan B is always a good idea with an acute cancer. As well, it would be prudent to look into clinical trials that may be available "just in case." I am not trying to sound negative, but rather suggesting that some planning for an unknown future, like buying car insurance, might very well be a good idea.
My T-Cell Lymphoma was highly chemotherapy resistant, and was either not entirely eliminated by the chemo, or relapsed immediately. At that time, there was nothing to use against it. Miraculously, a clinical trial for an experimental drug aimed at relapsed T-Cell Lymphomas appeared at that precise time. I entered the trial and went into complete response a second time. I am coming up on 4 years on this drug and remain in the long-term study of the drug. Since AML may very well relapse, looking ahead for treatment options will greatly ease the sense of shock that arrives with a relapse.