The Chinese do not like the Dalai Lama because of Chinese government propaganda. The Dalai Lama was exiled from Tibet a long time ago because he was against the Chinese occupation of Tibet. Since then, he's been perceived as an enemy and a threat to China's power over Tibet.
There's a reason the entire world EXCEPT China loves the Dalai Lama.
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China hates the Dalai Lama and to some extent India due to the 1959 Tibet rebellion when the Dalai Lama escaped to India. It was considered a big insult to China which was completely isolated from the rest of the world on the Tibet issue (both US and USSR supported Tibet autonomy).