You can't delete a page outright unless you're an administrator; if you think a page needs deleting, you can ask an administrator to do it on the talk page.
However, you don't need to delete a page to change its name; just choose "Move" from the drop-down menu next to "View history". This also keeps the history of the original page around, and automatically redirects the original title to the new page. I've merged the history of the two pages, so no worries. ehird (talk) 16:16, 31 May 2012 (UTC)