She says that her eye hurts her.
My eye hurts me.
Does it make sense? Is it natural to your ears?
She says that her eye hurts her.
My eye hurts me.
Does it make sense? Is it natural to your ears?
TL;DR
when you sayMy eye hurts me, what you are telling me is that you (not your eye) are hurting, and your eye is the cause of this pain.
There is a notable difference withMy eye hurts, and it's important to use the correct one in order to communicate clearly and unambiguously.
Answering because the comments are basically already answering your question. Let's look at two different examples:
What you are telling me is that you are experiencing pain in your eye. You are not mentioning what the cause of the pain is.
What you are telling me is that you are experiencing pain in your eyelid. You are also stating that your eye is the cause of the pain.
This does not automatically also mean that your eye itself hurts. You are only stating that your eyelid hurts. Although it is possible that both your eye and eyelid are hurting, within the scope of this sentence you are only talking about the pain in your eyelid.
So when you say My eye hurts me, what you are telling me is that you (not your eye) are hurting, and your eye is the cause of this pain.
When you describe it like that, it almost sounds like it is correct (but contrived) English; but this is not the case. There is a notable difference between the two, and it's important to use the correct one in order to communicate clearly and unambiguously.