I'm looking to have my latest wordpress blog post show up in a news section on my website. I know a ton of sites do this, so it shouldn't be too complicated. If anyone can explain here, or link me to a source with instructions, that would be excellent.
The obvious way to do this is to find/write some sort of RSS feed widget for your website and then just get it to update from your Wordpress blog feed, which is already up and running - that's what feeds are for, right! You haven't said whether you are a programmer and what CMS the site is running under, but here is an example of some simple PHP code to insert in your site which will do this, or if you aren't into tinkering with code then you could use a free JavaScript widget like here.