as u said that there is fracture
of ur wrist with swelling..i hope u might have been given medicines to reduce ur swelling and pain too..
commonly wrist fractures
are usually colles fracture which definitely need cast to be put on and immobilized for atleast 3 wks ..so putting ice is ok but not a permanent treatment for fractures .. u need to go to orthopaedician for a cast or any surgical procedure over ur wrist depending on ur age and physical conditions..
all the best ..