To rename an image, place <code>{{tlx|rename media|new name|reason}}</code> on the page of the file.
[[Wikipedia:Images|Images]] and [[Wikipedia:Categories|categories]] cannot be moved in the usual way, even by administrators.
To rename ana imagecategory, it is necessary to uploadcopy athe copycategory's ofdescription itpage underto the new name, copychange theevery image'spage descriptionin page,that replacecategory anyto usesbe ofin the imagenew withcategory instead of the newold one, then delete the originalold category. This is time-consuming and should only be done if there is a very good reason to do imageso.
To rename a category, it is necessary to copy the category's description page to the new name, change every page in that category to be in the new category instead of the old one, then delete the old category.
Both these things are time-consuming and should be done only if there is a very good reason to do so.