Use baby scissors to cut her nails, it is much safer than the baby nail clipper. Just dont open the scissors too wide. Last time I also use nail clipper on my boy and cut him too deep, ended up bleeding. At first when my friend told me to try using baby scissors I was so scared. Scissors sounds scary to me haha! But after I tried it, I was amazed how easy it is to cut his nails even when he fidgets alot. Best is he never bleed again
Also, after cutting nails, the nails will still be sharp. Try using those small nail file to file the nails gently to smoothen out any rough edges. That should prevent scratches on her face.