From my own experience with my daughter quite a few years ago now, ( the fashion then was white face and purple lips...not a pretty look) we gave up trying to suggest she change and eventually she did....she looks back on it now with horror and my suggestion would be just to let it run its course,but...
It's very interesting to read the above post from leahbee5 s she is close to your daughters age group
Am I right in thinking your girl has a prom coming up this year...that might be the time for a professional to do her makeup and hair etc for the big night ...just a thought