Bleeding from any source is a sure indication to see the doctor as soon as possible.
And headache with it is a sure sign to seek medical advice
What you see from the nose, is not necessarily from the nose - may be from higher up and nose is the point of exit!
No direct hit / no visible injury does not rule out internal damage.. There are several issues in such situations, your doctor will know - one example is whip lash injury
Tell her to see a doctor as soon as possible - if feasible Ear-Nose-Throat specialist AND Neurologist
Delay may be dangerous.. It is wiser to be safe than sorry