That seems illegal. What kind of job is this? Are they a crackpot "alternative" medicine cancer cure and your seeing an actual physician negates their fraud?

You have my sympathy. I assume since you have oncologist appointments you were diagnosed with and being treated for cancer. I went through that also about 3 years ago. Chemotherapy, if you are going to be undergoing that is a tough experience for most people, myself included. But most cancers are no longer a death sentence and you can fully recover. In the meanwhile, if I might suggest - Now is not a good time to change jobs unless you are not currently employed or your current work situation is bad. Cancer treatments are difficult and you will be needing the understanding of your employer and from time to time might be unable to work. That’s a time when it is good to be already valued as a current employee instead of just having begun your job and are trying to prove yourself. Different people have different experiences. Hopefully you will have an easier time than I did. But right now you need to focus on getting through the treatments and beating cancer.

Seriously? That seems highly illegal. And to be honest would you really want to work for people who'd ask you to do that?