how to list recent post title links from particular category

Hey… I’m doing a website for a faith based non profit. In the side bar, I want to do the following:

Prayer Requests

• post title link 1
• post title link 2
• post title link 3

…etc. Each of the post links would link to the most recent posts that have been filed under the “Prayer Request” category.

I’m not sure how to do this… and I may want to do more of this in the future, with things like “Fundraiser news,” etc. That way, I don’t have to link to different blogs.

Does that make sense?