elizabeth sedway , 51 , has rare plasma cancer and was returning to california with her husband and two children from hawaii vacation .
sedway shared video of her removal from alaska airlines flight on facebook .
she said an airline representative took note of her because she was wearing a surgical mask and was sitting in handicapped section .
sedway was told the airline was concerned she might collapse on the plane .
alaska airlines has said it has refunded her tickets and will pay for her family 's overnight stay in lihue .
sedway posted on facebook that the value of their tickets would go to study the blood cancer multiple myeloma , for which she is being treated .