如果是共用厨房,要看房东的保险是否有出租险,否则保险公司不会赔的,房东是否要赔就要你们法庭上见高下了,你未必能一定赢,因为一般这种情况你与房东共摊风险,因为有共同维护清洁之责任。
若是你单独租的,租约一般有明文规定。一般而言你需要用自己的"Renter' home insurance"来处理,当然 最终你要涨保费。
This is Canada, not the States. You won't be able to get much money from judge, unless your injury is so severe that you won't be able to walk and work for the rest of your life.