The title "Write a news diary" was quoted from "70 ways to improve your English"
Can we say "keep a news diary"?
2. Write a news diary. Another daily writing task that can work for people who would be bored by writing about their own routines in a diary is to write about the news that you read and listen to everyday. If you include your predictions for how you think the story will develop (e.g. "I think Hillary will become president"), this can give you a good reason to read old entries another time, at which time you can also correct and mistakes you have made and generally improve what you have written.
The above article was quoted from "70 ways to improve your English".
When I was in junior high school, my English teacher told me that we should not say" write a diary" we must say "keep a diary" why this title says Write a news diary ? this is my question.