How do you deal with people who get angry with you if you have a problem/are sick?

The things you are mentioning here is prophesied about in the Bible. If you would please look up 2 Timothy 3:1-5. There you will find that the heirs of this world are to be expected. The best thing you can do about it is pray incessantly and keep trying to be nice to people, even those who seem to be tormenting you.