I'm going to kick my date out of my place after they just told me their secret
What's the secret they told you?
They told me they have a terminal illness. They have liver cancer.
Kicking them out after they just opened up and told you that they were dying of cancer is extremely heartless and cruel. They clearly opened up to try to get some support from you, and you should be willing to do that for them.
What can I say, I'm a dog. I'm going to throw them out now.
How would you feel if someone refused to talk to you or give you any support after you opened up to them? It would probably make you feel extremely hurt and confused. You really should talk to your friend and support them through this difficult time instead of kicking them out.