They have to run a business. It's unfortunate but they need people who are reliable. It's not your "fault" you are sick but maybe you need to take some time off and address all the problems with your asthma and migraines, etc. and get your health in better shape? Think about what you would rather do besides dishes? It doesn't sound like that's the greatest job for you and just adds to your stress?

I have asthma too and know what that's like, having days that are worse than others. The migraines don't found fun either. What would you like to do other than just "get out of the house"?