Hmm, I’m not positive which page you mean, so here are a couple of explanations. See if one of these answers your question. 🙂
If you’re viewing your added resources (going into Account, then clicking on Resources), clicking Delete will delete that resource from your personal database. It should not affect all the resources that everyone has access to in the CM Bookfinder. (For everybody’s information: once you add a personal resource, it will show up in Bookfinder searches only for you if you’re logged in. Not everyone can see it.)
If you’re viewing your scheduled resources listed on the Resource Scheduler page, clicking Delete will just remove that resource from your schedule.
Does that help any?