For a while, whenever the in-site search feature is used on my wordpress site, a Cloudflare security check page opens in front of the visitor and then the search results are displayed.
Why did this page start to open and can I close it?
I searched in the community but did not found a topic about this case.
You should visit the Dashboard > Security > Events, to see which Cloudflare security feature is presenting this challenge. Depending on the Cloudflare Plan your domain is on, and on the feature that is doing the challenge, you may or may not be able to bypass or disable it.