dear friend, welcome to HCM.
your nose bleed is surely due to trauma.
you should get Xray skull done to look for fracture
. you should see an ENT doctor if the bleed continues, as it may need nasal packing.
a small bleed would stop by pinching the nostril
for sometime and keeping the pressure on. it will stop if it is a small local trauma.
but if it is a deep skull base fracture, it will not and a neurosurgical consult is needed and SOS a CT scan
head. keep watch if clear fluid also oozes out.
take care and keep me posted on your progress.