There may be more than just moving your site to a new directory as per the codex instructions [which covers only the "ideal" case].
There could be hardcoded html or php references to "wwordpress" which will all fail unless you manually change them, too. Not just in the posts but also in the PHP template files. If other sites link to your posts, they may be pointing to "wwordpress" and you will need to modify htaccess to redirect the links.
I am not saying not to do it, just think hard why you want to change that folder name and if it [really] matters. If it does, do your backup and I would recommend running the two in parallel [so your users are not negatively impacted] until you've worked out all the kinks in the new one. Good luck, you'll need it!