Thanks for posting your query.
With the available described symptoms, there appears to be possibility of fracture
of nasal bone
or sift tissue injury.
Falling on snow may cause deeper injury.
You should consult with ENT surgeon/ general surgeon
and should go for thorough check up.
You should go for x ray of PNS view which also includes nasal bridge.
If fracture is present then you should consult with orthopedic surgeon along with plastic surgeon.
If fracture is absent then there is high chances of soft tissue injury
and it will take 10-14 days for recovery of bruise and localized swelling.
Dr. Mayank Bhargava