Am I a bad person for feeling this way?

My 79yo great grandma has just been diagnosed with metastatic lung cancer. She's been a heavy smoker for most of her life but quit around 8 years ago, is in poor health, and might just be at the end of her life. Though I'm devastated, I'm not at all surprised and saw this coming from a mile away. I feel like a terrible granddaughter for this. Am I a terrible granddaughter or is this normal?

Am I a bad person for feeling this way?
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