May I suggest first adjusting your approach? Your thread title assumes the patient doesn't like you, but have you considered that the situation may have absolutely nothing to do with you? What you are describing sounds like the patient is unhappy with the situation they are faced with, their condition, and the system which hasn't worked well for them to this point. It's not personal. None of those things has to do with you.
Personally, I find it effective to speak to these patients in a candid, no bullsh!t way. Skip the platitudes and validating statements that they've heard so many times as to become meaningless. Drop the doctor act and just be real with them. Be honest about what the system lets you do and not do for them, to manage their expectations up front. Be yourself. There are a lot of patients who will see right through the fake-ass healthcare provider lines, so if your manner is significantly different from everyone they've spoken to before, that may help them see you as a different person who is going to honestly look at their problem list with fresh eyes, rather than as another appendage of the same health care machine that has been letting them down all week, all month, or all year.