I would be worried about disclosing my illness to my employer. I would let them know I was hired for part-time and that is all I can work because of other obligations I had before I started here. I may be able to work a few more hours to help you out once in a while, but I am unable to work full-time. Or can you work with me? I have appt's on such and such days and if they ask for what tell them it is personal or medical reasons. I don't know if this is much help to you and your situation, it is what I would try though!