Is rejection normal?

If you mean that your parent or parents reject your help as a caregiver, I'd say that is not unusual. Some people prefer to get along with the care they need. Others will accept care from strangers but not family. Whatever your circumstance, don't assume you are unloved.

You didn't give much information, so I'm going on conjecture. If your family has been dysfunctional, then this would be even more common. Please come back and let us know more.
Carol

Please let us know more of what's going on so you can get more responses.

From an earlier post we learned her partner has pancreatic cancer and now does not want to be with her. I know the hurt feelings of having someone say they don't want to be with you anymore. It can be devastating, particularly when a large part of our lives have been invested. Sometimes the only thing we can do is move on and let the person know we are there for them if they need us (if it is appropriate to the situation).

I think it's very common. Even animals who are not well tend to isolate themselves. It's very sad. I'm sorry you're going through this.